Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 12.1, Problem 12.61P
To determine
The coefficient of static friction.
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The W1= 69.01-lb block shown rests on a smooth plane (coefficient of kinetic friction = 0) with an angle of θ=34∘ from horizontal. It is connected by a flexible inextensible cord that passes around weightless, frictionless pulleys to a support. The W2 =134.93-lb weight is attached as shown. After the system is released from rest, in what distance will the block on the plain attain a speed of 10.0 ft/s?
Two blocks are joined by an inextensible cable as shown. Determine the
acceleration of the blocks using Newton's second law of motion. Assume
that the coefficient of kinetic friction between block A and the plane is uk
= 0.25 and that the pulley is weightless and frictionless.
200 kg
A
В
300 kg
Question (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
A
Chapter 12 Solutions
Vector Mechanics for Engineers: Dynamics
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 - Astronauts who landed on the moon during the...Ch. 12.1 - The value of g at any latitude o may be obtained...Ch. 12.1 - A 400-kg satellite has been placed in a circular...Ch. 12.1 - A spring scale A and a lever scale B having equal...Ch. 12.1 - In anticipation of a ling 7° upgrade, a bus driver...Ch. 12.1 - A 0.2-Ib model rocket is launched vertically from...Ch. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - Determine the maximum theoretical speed that may...Ch. 12.1 - If an automobile’s braking distance from 90km/h is...Ch. 12.1 - A mother and her child are skiing together, and...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 - Prob. 12.25PCh. 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 - A 25-kg block A rests on an inclined surface, and...Ch. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - A 450-g tetherball A is moving along a horizontal...Ch. 12.1 - During a hammer throwers 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 - A 1-kg sphere is at rest relative to parabolic...Ch. 12.1 - Prob. 12.42PCh. 12.1 - The 1.2-Ib flyballs of a centrifugal governor...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 54-kg pilot flies a jet trainer in a...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 two blocks are released from rest when r=0.8 m...Ch. 12.1 - Prob. 12.72PCh. 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 - Prob. 12.124RPCh. 12 - Prob. 12.125RPCh. 12 - The roller-coaster track shown is contained in a...Ch. 12 - The parasailing system shown uses a winch to pull...Ch. 12 - Prob. 12.128RPCh. 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...
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- Blocks A and B have a mass of 50 kg and are connected by a rigid bar of negligible weight. Furthermore, the coefficients of static and dynamic friction on all surfaces are respectively 0.3 and 0.25. The angle θ corresponds to 30°. Determine: If a force 10% greater than that found at point b is applied, what is the acceleration of block B.arrow_forwardThe subway train shown is traveling at a speed of 25 mi/h when the brakes are fully applied on the wheels of cars B and C, causing them to slide on the track, but are not applied on the wheels of car A. The coefficient of kinetic friction is 0.35 between the wheels and the track. v/mi/h 40 tons 50 tons 40 tons Determine the distance required to bring the train to a stop. (You must provide an answer before moving to the next part.) The distance required to bring the train to a stop is ft.arrow_forward(a) Two blocks are joined by an inextensible cable as shown in Figure. If the system is released from rest, determine the velocity of block A after it has moved 2 m by using the data given. Assume that the coefficient of kinetic friction between block A and the plane is ?k = 0.25 and that the pulley is weightless and frictionless.arrow_forward
- A car of mass 700 kg travels round a horizontal curve of 60 m radius. The centre of gravity of the car is 1.25 m above the ground and the distance between the wheels is 1.7 m. If the limiting coefficient of friction between the tyres and the road is 0.6 determine, with reason, whether the vehicle will skid or overturn when rounding the bend at speed. Hence state the maximum permissible speed to navigate the curve safely.arrow_forwardA small 250-g collar C can slide on a semicircular rod which is made to rotate about the vertical AB at a constant rate of 7.5 rad/s. Determine the three values of 0 for which the collar will not slide on the rod, assuming no friction between the collar and the rod.arrow_forwardSlider C has a mass of 0.5 kg and may move in a slot cut in arm AB, which rotates at constant speed in a horizontal plane. The slider is attached to a spring of constant k = 150 N/m, which is unstretched when r = 0. When arm AB rotates about the vertical axis, the slider moves without friction outward along the smooth slot cut. Determine for the position r = 80 mm: a) The constant speed (V) of the slider. b) The normal force (N) exerted on the slider by arm AB. A r=80mm Barrow_forward
- * Incorrect A 2.9-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 8.0 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. 3.1' ACO Answers: N = v= i -0.848 -16.73 lb ft/sec²arrow_forward2. A block travels past point A with a speed of 8 m/s along a smooth surface until it reaches a rough surface of length L=20 m and a coefficient of kinetic friction of 0.8. If the height h₁ = 8 m, and h₂ = 3 m. Determine (A) the speed of the block at point B (B) whether the speed at point C (C) reaches point D. If so, what is the speed at point D, if not, how far is the rough surface that cross the beam?arrow_forwardASAParrow_forward
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