Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.1, Problem 12.F9P
Four pins slide in four separate slots cut in a horizontal circular plate as shown. When the plate is at rest, each pin has a velocity directed as shown and of the same constant magnitude u. Each pin has a mass m and maintains the same velocity relative to the plate when the plate rotates about O with a constant counterclockwise angular velocity
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please draw the free body diagram and each step of the work please and thank you
3. The hollow tube is pivoted about a horizontal axis through point O and is made to
rotate in the vertical plane with a constant counterclockwise angular velocity of 3
rad /sec. If a 0.2-lb particle is sliding in the tube toward 0 with a velocity of 6 ft /sec
relative to the tube when the position 0 = 30° is passed, calculate the magnitude N
of the normal force exerted by the wall of the tube on the particle at this instant.
3. A 2-kg ball S is moved in the vertical plane by a robotic arm. When 0= 30°,
the angular velocity of the arm about a horizontal axis through O is 50 deg/s
clockwise, and the angular acceleration is 200 deg/s² counterclockwise. In
addition, the hydraulic element is being shortened at the constant rate of 500
mm/s. Find the minimum gripping force needed to hold the ball is the
coefficient of friction between the sphere and gripping surfaces is 0.5.
Compare this force to the force needed to hold the sphere in static
equilibrium.
Chapter 12 Solutions
Vector Mechanics For Engineers
Ch. 12.1 - A 1000-Ib boulder B is resting on a 200-Ib...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Prob. 12.CQ4PCh. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Prob. 12.F2PCh. 12.1 - Objects A, B, and C have masses mA, mB, and...Ch. 12.1 - Blocks A and B have masses mAand mB, my...Ch. 12.1 - Blocks A and B have masses mAand mB, my...
Ch. 12.1 - A pilot of mass m flies a jet in a half-vertical...Ch. 12.1 - Wires AC and BC are attached to a sphere that...Ch. 12.1 - A collar of mass m is attached to a spring and...Ch. 12.1 - Four pins slide in four separate slots cut in a...Ch. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Prob. 12.F11PCh. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - Prob. 12.1PCh. 12.1 - Prob. 12.2PCh. 12.1 - Prob. 12.3PCh. 12.1 - A spring scale A and a lever scale B having equal...Ch. 12.1 - A loading car is at rest on a track forming an...Ch. 12.1 - A 0.5-oz model rocket is launched vertically from...Ch. 12.1 - Determine the maximum theoretical speed that may...Ch. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - If an automobile's braking distance from 108 km/h...Ch. 12.1 - A 4-kg package is released from rest at point A...Ch. 12.1 - The coefficients of friction the load and the...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - Each of the systems shown is initially at rest....Ch. 12.1 - Boxes A and B are at rest on a conveyor belt that...Ch. 12.1 - A 5000-1b truck is being used to lift a 1000-1b...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Prob. 12.20PCh. 12.1 - Prob. 12.21PCh. 12.1 - To unload a bound stack of plywood from a truck;...Ch. 12.1 - To transport a series of bundles of shingles A to...Ch. 12.1 - Prob. 12.24PCh. 12.1 - Determine the maximum theoretical speed that a...Ch. 12.1 - Prob. 12.26PCh. 12.1 - A spring AB of constant k is attached to a support...Ch. 12.1 - Prob. 12.28PCh. 12.1 - Prob. 12.29PCh. 12.1 - An athlete pulls handle A to the left with a...Ch. 12.1 - A 10-Ib block B rests as shown on a 20-1b bracket...Ch. 12.1 - Prob. 12.32PCh. 12.1 - Knowing that k=0.30 , determine the acceleration...Ch. 12.1 - The 30-Ib block B is supported by the 55-Ib block...Ch. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - Knowing that the swings of an amusement park ride...Ch. 12.1 - During a hammer thrower's practice swings, the...Ch. 12.1 - Prob. 12.38PCh. 12.1 - A single wire ACB passes through a ring at C...Ch. 12.1 - Two wires AC and BC are tied at C to a sphere that...Ch. 12.1 - Prob. 12.41PCh. 12.1 - Prob. 12.42PCh. 12.1 - As part of an outdoor display, a 5-kg model C of...Ch. 12.1 - A 130-ib wrecking ball B is attached to a...Ch. 12.1 - During a high-speed chase, a 2400-Ib sports car...Ch. 12.1 - An airline pilot climbs to a new flight level...Ch. 12.1 - The roller-coaster track shown is contained in a...Ch. 12.1 - A spherical-cap governor is fixed to a vertical...Ch. 12.1 - A series of small packages, each with a mass of...Ch. 12.1 - A 55-kg pilot flies a jet trainer in a half...Ch. 12.1 - A carnival ride is designed to allow the general...Ch. 12.1 - Prob. 12.52PCh. 12.1 - Prob. 12.53PCh. 12.1 - Prob. 12.54PCh. 12.1 - A 3-kg block is at rest relative to a parabolic...Ch. 12.1 - A polisher is started so that the fleece along the...Ch. 12.1 - Prob. 12.57PCh. 12.1 - The carnival ride from Prob. 12.51 is modified so...Ch. 12.1 - Prob. 12.59PCh. 12.1 - Prob. 12.60PCh. 12.1 - Prob. 12.61PCh. 12.1 - Prob. 12.62PCh. 12.1 - Prob. 12.63PCh. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - An advanced spatial disorientation trainer allows...Ch. 12.1 - Prob. 12.67PCh. 12.1 - The 3-kg collar B slides on the frictionless arm...Ch. 12.1 - A 0.5-kg block B slides without friction inside a...Ch. 12.1 - Pin B weighs 4 oz and is free to slide in a...Ch. 12.1 - The parasailing system shown uses a winch to let...Ch. 12.1 - A 700-kg horse A lifts a 50-kg hay bale B as...Ch. 12.1 - Slider C has a weight of 0.5 Ib and may move in a...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - For the particle of Prob. 12.74, show (a) that the...Ch. 12.2 - Prob. 12.76PCh. 12.2 - For the particle of Prob. 12.76, determine the...Ch. 12.2 - Determine the mass of the earth knowing that the...Ch. 12.2 - Prob. 12.79PCh. 12.2 - Prob. 12.80PCh. 12.2 - Prob. 12.81PCh. 12.2 - The orbit of the planet Venus is nearly circular...Ch. 12.2 - A satellite is placed into a circular orbit about...Ch. 12.2 - The periodic time (see Prob. 12.83) of an earth...Ch. 12.2 - Prob. 12.85PCh. 12.2 - Prob. 12.86PCh. 12.2 - Prob. 12.87PCh. 12.2 - Prob. 12.88PCh. 12.2 - Prob. 12.89PCh. 12.2 - A 1 -kg collar can slide on a horizontal rod that...Ch. 12.2 - A 1-Ib ball A and a 2-Ib ball B are mounted on a...Ch. 12.2 - Two 2.6-Ib collars A and B can slide without...Ch. 12.2 - A small ball swings in a horizontal circle at the...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - A particle of mass m is projected from point A...Ch. 12.3 - A particle of mass m describes the logarithmic...Ch. 12.3 - Prob. 12.96PCh. 12.3 - Prob. 12.97PCh. 12.3 - Prob. 12.98PCh. 12.3 - It was observed that during the Galileo...Ch. 12.3 - Prob. 12.100PCh. 12.3 - Prob. 12.101PCh. 12.3 - Prob. 12.102PCh. 12.3 - Prob. 12.103PCh. 12.3 - A satellite describes a circular orbit at an...Ch. 12.3 - A space probe is to be placed in a circular orbit...Ch. 12.3 - Prob. 12.106PCh. 12.3 - Prob. 12.107PCh. 12.3 - Prob. 12.108PCh. 12.3 - Prob. 12.109PCh. 12.3 - Prob. 12.110PCh. 12.3 - Prob. 12.111PCh. 12.3 - Prob. 12.112PCh. 12.3 - Prob. 12.113PCh. 12.3 - Prob. 12.114PCh. 12.3 - Prob. 12.115PCh. 12.3 - Prob. 12.116PCh. 12.3 - Prob. 12.117PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.119PCh. 12.3 - Prob. 12.120PCh. 12.3 - Show that the angular momentum per unit mass h of...Ch. 12 - In the braking test of a sports car, its velocity...Ch. 12 - A bucket is attached to a rope of length L=1.2 m...Ch. 12 - Block A has a weight of 40 Ib, and block B has a...Ch. 12 - Prob. 12.125RPCh. 12 - Prob. 12.126RPCh. 12 - The parasailing system shown uses a winch to pull...Ch. 12 - A robot arm moves in the vertical plane so that...Ch. 12 - Telemetry technology is used to quantify kinematic...Ch. 12 - Prob. 12.130RPCh. 12 - Prob. 12.131RPCh. 12 - Prob. 12.132RPCh. 12 - Disk A rotates in a horizontal plane about a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The small block B is attached to the vertex A of the right circular cone using a light cord. The cone is rotating at a constant angular velocity about the vertical z-axis such that the block attains a speed of 0.6 m/sec. If the mass of the block is 0.3 kg, determine the tension in the cord by neglecting friction and the size of the block. Present your answer in Newtons using 3 significant figures. 200 mm B 300 mm A 400 mmarrow_forwardIn the system that starts to move without speed, the masses of 22.2 kg each reach an angular velocity of 242 rev/min in t second at a radius of R=293 mm with the effect of the 37 N force T. Since the radius of the pulley is r = 63 mm, find t ignoring friction and all masses except the four.arrow_forwardQ. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.arrow_forward
- 4arrow_forwardQuestion (2): The spring-mounted 0.7-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate è = 5 rad/s. At a certain instant, r is increasing at the rate of 900 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.4, calculate the friction force F exerted by the rod on the collar at this instant. Vertical do икон F D 900mm/s Aarrow_forwardThe spring-mounted 0.90-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate 0 = 6.2 rad/s. At a certain instant, r is increasing at the rate of 790 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.68, calculate the friction force Fexerted by the rod on the collar at this instant. Vertical (ונננננ Answer: F = i Narrow_forward
- The "flying car" is a ride at an amusement park which consists of a car having wheels that roll along a track mounted inside a rotating drum. By design the car cannot fall off the track, however motion of the car is developed by applying the car's brake, thereby gripping the car to the track and allowing it to move with a constant speed of the track, vt = 3 m/s. The rider applies the brake when going from B to A and then releases it at the top of the drum, A, so that the car coasts freely down along the track to B (0 = π rad). Neglect friction during the motion from A to B. The rider and car have a total mass of 390 kg and the center of mass of the car and rider moves along a circular path having a radius of R = 9.8 m. (Figure 1) Figure R Barrow_forwardThe disk D, which has weight W = 15 lb, starts from rest on an incline when the constant moment M is applied to it. The disk is attached at its center to a wall by a spring of constant k = 7 ft/lb. The spring is unstretched when the disk is at its starting position. The disk rolls down the incline without slipping. Take R = 5 ft, 0 = 25° and g = 32.2 ft/s². Use for the moment of inertia of the disk about G, IG: Figure D Part B R M mR² wwww 1 of 1 Part A - Draw a free body diagram of the disk. Indicate which forces and/or couples do work on the disk. Determine the value of the moment M for the disk to stop after rolling down a distance d = 5 ft down the incline. You must use the work-energy theorem to solve this question.arrow_forwardQ8: The 25-kg bar BD is attached to the two light links AB and CD and moves in the vertical plane. The lower link is subjected to a clockwise torque M = 200 N. m applied through its shaft at A. If each link has an angular velocity w = 5 rad/s as it passes the horizontal position, calculate the force which the upper link exerts on the bar at D at this instant. Also find the angular acceleration of the links at this position. Ans.: F, = 234 N, a = 5.87 rad/s² CW D 300 mm 500 mm M B 600 mmarrow_forward
- A block with some mass m is connected to a string that is attached to the ceiling. The block on the end of the string is going around a circular path with a constant radius r and constant speed. Applying Newton's second law to the x component of force seperately in order to find the expressions for the tension of the string in terms of mass m, angle θ, and constant g. The x direction includes centripetal acceleration.arrow_forwardB 100 On a slope, the 1.3-tonne engine with an almost constant thrust of 300 N is driven by its engine. The driver of my car brakes at point A while driving at 90 km/h. a- Calculate the kinetic friction coefficient of the road so that it travels 50 m and stops. b- When you press the brake while going downhill from B to A at the same speed (the kinetic we found in part a) Calculate the stopping distance using my coefficient of friction.arrow_forwardThe slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, θ=36∘, ω=θ˙=4.6 rad/s, θ¨=0, and r=0.63 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY