If the 100-kg mass has a downward velocity of 0.5 m/s as it passes through its equilibrium position, calculate the magnitude amax of its maximum acceleration. Each of the two springs has a stiffness k 180 kN/m. %3D Ans. amax 30 m/s %3D

If the 100-kg mass has a downward velocity of 0.5 m/s as it passes through its equilibrium position, calculate the magnitude amax of its maximum acceleration. Each of the two springs has a stiffness k 180 kN/m. %3D Ans. amax 30 m/s %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The spring-held follower AB has a mass of 0.4 kg and moves back and forth as its end rolls on the…

Q: Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is…

Q: Figure 2 shows the forklift has a weight of 1000 kg with center of gravity at G,, and the load…

A: (a) To find : The shortage stooping distance without causing any of the wheel to leave the ground.…

Q: els of negligible weight are mounted at corners A . If the plate is released from rest at 0-60°,…

A: Plate=50-lbreleat from rest at θ=60° To-Find:- Angular Velocity before θ=30° Figure A. Figure B

Q: the 200-kg engine in the position for which e = 30o. The diameter of the pulley at B is negligible (…

A: Given Data m=200 kg

Q: The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos θ + 0.3) m. The…

Q: If d=2m and F-200N and the mass of ball 30 kg Determine the forces in cables AC and AB in…

A: tanθ=22θ=45° tanα=2.52α=51.3° ∑FX=0-ABcosα-ACcosθ+F=0AB(0.625)+AC(0.707)=200 ......(1)

Q: Q4. A 5 lb cylinder is falling from A onto the platform. The length of the unstretched spring is…

Q: During a brake test, the rear-engine car is stopped from an initial speed of 98 km/h in a distance…

Q: The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, € =…

A: Given data: θ=28°θ˙=46 deg/s=0.803 rad/sθ¨=21 deg/s2=0.36652 rad/s2m=0.7 kgL=0.53 m Need to…

Q: The rod of negligible mass is subjected to a couple moment of M = (30t2) N - m and the engine of the…

Q: The smooth hollow tube assembly rotates about a vertical axis with angular velocity @ = 0 = 3.5…

A: ω=θ˙=3.5rad/sω˙=θ¨=-2.6rad/s2m=0.26-kgr=1.12mr˙=-2.0m/sr¨=4.9m/s2 To-Find:- T=____NFθ=____N

Q: •*344. A scale is constructed using the 10-kg mass, the 2-kg pan P, and the pulley and cord…

Q: If the 50-kg wooden box was pulled from rest to a distance of 6 m up an inclined plane, determine…

Q: The horizontal force P 421 N. Determine the normal reaction forces at A and B. The mass of the…

Q: The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 -…

A: TO obtain the required solution of the above question, we need to calculate the resultant…

Q: The coefficient of friction between the tires and road surface for a vehicle having a mass of 2600…

A: (a) The stopping distance: s = 27.18 m. (b) The inertia or braking force: Fb = 19.1295 kN.

Q: Determine the force P needed to cause the impending motion of the block

Q: The grooved pulley of mass m is acted on by a con- stant force F through a cable which is wrapped…

Q: The 10 Mg truck hauls the 20 Mg trailer. If the truck-trailer start from rest with constant…

A: Write the given data: Understand as the acceleration is constant the newtons kinematic equation can…

Q: The pipe has a mass of 800 kg and is being towed behind a truck. If the angle 6 = 30°, determine the…

A: Given Data The mass of the pipe is: m=800 kg The angle is: θ=30° The coefficient of kinetic…

Q: The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 =…

Q: Determine the vertical acceleration of the cylinder with a weight WA = 65 lb for each of the two…

Q: Determine the force P required to maintain the 200-kg engine in the position for which e = 30o. The…

Q: A spring having original length of L1 is constricted by the 4 cords having length of L2. So, those…

Q: Datum SB 3.) If the cable that is connected to block A slacks with an acceleration of 0.6 m/s/s.…

Q: The homogeneous box has mass m. The magnitude of force P is slowly increased until motion occurs.…

A: To obtain the magnitude of the required force P, we will resolve the force P into its horizontal and…

Q: The 3.5-Mg engine is suspended from a spreader beam AB having a negligible mass and is hoisted by a…

Q: force P that is parallel to the incline. The mass of the mower with attached grass bag is 50 kg with…

A: Draw the free body diagram Apply the condition of equilibium ,ΣFx=0 , P-wsinθ=0 w=mg…

Q: 2. Gear B with a mass of 2kg has an angular acceleration of 45rad/s². Determine the force exerted by…

A: Given:m=2 KgωB=45 rad/s2IB=0.05 Kg.m2rB=0.1 mTorque on B,TB=IB*αBTB=0.05*45 =2.25 N.m

Q: The smooth block B, having a mass of 1 kg, is attached to the vertex of the right circular cone…

A: Data given- m = 1 kg v = 0.6 m/s

Q: 1- -- pomn) A pilot of mass m= 70 kg in a jet aircraft executes a loop-the-loop, as shown in Figure.…

A: mass=70Kg radius=3Km v=250m/s Ans(a) Centripetal acceleration ac=v2r=25023000=20.833 m/s2

Q: The smooth hollow tube assembly rotates about a vertical axis with angular velocity @ = 0 = 4.9…

A: Given data: ω=θ˙=4.9 rad/sω˙=θ¨=-1.9 rad/s2r=0.5 mr˙=-1.8 m/sr¨=4.7 m/s2 Need to determine the…

Q: The arm is rotating at a rate of 0 = 4rad/s when ôÔn = 3rad/s² and 0 = 180°. Determine the force it…

Q: Determine the tension in the cable

A: Given Mass of the box=400 Kg Acceleration=2 m/s2 Gravitation g=9.81m/s2 Find Determine the…

Q: During a brake test, the rear-engine car is stopped from an initial speed of 85 km/h in a distance…

Q: A force of P = 500 N is applied to the 80-kg cart. Determine the reactions at both the wheels at A…

A: Given data as per question force of P = 500 N MASS = 80 kg

Q: The coefficients of static and kinetic friction be- tween the 100-kg block and the inclined plane…

A: Given Mass of the block 100 kg To find Friction force for P of 200 N Magnitude of P which initiates…

Q: Determine the driving force and normal force exerted by the partially spiral track on the 200- kg…

A: Find the driving force and normal force on the motorcycle.

Q: Q1: The spring is undeformed (unstretched) when x = 0. If the body moves from the initial position…

Q: 0.25 m B 0.25 m 0.5 m 1.25 m 0.75 m The trailer with its load has a mass of 150 kg and a center of…

Q: The homogeneous box has mass m. The magnitude of force P is slowly increased until motion occurs.…

Q: The 250 kg roller coaster car with passengers is traveling along the spiral track at a constant…

Q: The 0.8-Mg car travels over the hill having the shape of a parabola. If the driver maintains a…

Q: the 200-kg engine in the position for which e = 30o. The diameter of the pulley at B is * negligible…

Q: The 20-kg crate is subjected to a force having a constant direction and a magnitude F = 100 N. When…

Q: Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is…

A: Given data as per question Mass of collar =0.7 kg r=(1.6cosθ)m θ˙ = 4 rad/s θ = 45o

Q: 3. The 12-kg block shown rests on the smooth incline. If the spring is originally stretched 0.5 m,…

A: Given data Mass of block = 12 kg Angle of inclination = 30° The spring is stretched by 0.5 m We have…

Q: The cylindrical peg has a mass m and is confined to move along the smooth horizontal slot due to the…

A: Write the expression for the motion in vertical and horizontal components for the peg from the given…

Q: The 10-kg crate is subjected to a force having a constant direction and a magnitude F = 100 N. When…

Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

If the 100-kg mass has a downward velocity of 0.5 m/s
as it passes through its equilibrium position, calculate
the magnitude amax of its maximum acceleration.
Each of the two springs has a stiffness k = 180 kN/m.
Ans. amax = 30 m/s2
%3D
k
k
100 kg

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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

Q1/ A man of mass 75 kg ,and woman of mass 55 kg stand facing each other on an ice rink ,both wearing ice skates. The horizontal force of F=85 N in the positive x-direction Assume the ice is woman pushes the man with a Frictionless. a-what is the man's acceleration. b- what is the reaction force on acting on the woman. c-what is the woman's acceleration. Q2/ A force of 10 N acts on a body of mass 2 kg . what is : a- The acceleration of body. b- Its weight in Newton. c- Its acceleration if the force is double. Q3/ A 3 kg particle starts from rest and moves a distance of 4 m in 2 sec under the action of a single constant force. find the magnitude of the force ? Q4/ A 6 kg object undergoes an acceleration of 2 m/sec² . a- What is the magnitude of the resultant force acting on it ? b- If this same force is applied to a 4 kg object, what acceleration will it produce?
The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?
Motorized moving platform is lifting a car with some acceleration. If the combined weight of the lift platform and car is 2800kg, and the motorized lift weight is 200000kg, determine the maximum acceleration of the platform before tipping occurs. Weight of the platform a=2.1m, b = 4m, c = 4.2m, d = 3m FBD of the lift: Vertical lift platform. center of gravity (car) FBD of the car: a C Too center of gravity (lift)
The box of mass m = 10 kg is in motion. What is the minimum force F needed to keep it moving? F 3.92 O 9.81 O.4.91 O 49.05 4 MS. = 0.2, k = 0.1
If there is n friction in the system, the Lagrange's equation will be based only on kinetic energy and protentional energy only. Select one: O True O False III O
The electric motor is used to pull a train at a maximum constant speed of 60 km/h. This motor has a power of 340 kW. The train is pulled directly up the inclination of 1 in 180. The tractive resistance against the motion is 80 N.1.Draw the free body diagram representing all forces acting on the train2.Calculate the mass of the train.
2.5 m 2T 2.3 m B 3 m O G -1.2 m A 6 m A jet aircraft has a total mass of 25-Mg and a center of mass at G. Initially, at take-off, the engines provide a thrust 2T=2 kN and T'=1.7 kN. Determine the acceleration of the plane. Neglect the friction.
A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft = g 32 Express your answer as a linear combination of sin(at) $² and cos(at), where u is in feet and t is in seconds. u(t) = Determine the first four times at which the velocity of the mass is zero. Exclude t = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =
A Box of mass 50 kg was at rest and starts to slide down the hill of height H1 =85 m and reaches H2 = 37 m. Calculate the Kinetic Energy at H1 and H2. H1 H2 Ground Determine the value of Kinetic Energy of the box at the top of the hill H1 is KE1= Determine the value of Kinetic Energy of the box at the hill at H2 is KE2=
The crate with a mass of 80 kg is being towed by a chain which is directed at 20°. Find the crate acceleration in t = 2 s if the force P = 90t² N, normal force of 661.67 N and the coefficient of kinetic friction = 0.3. O a. 7.51 m/s² O b. 1.75 m/s² O c. 3.50 m/s² d. 2.44 m/s² 20° P
The torsional spring has a stiffness of 20 N-m/rad and is undeflected when the 3-kg uniform slender bar is in an upright position. If the bar is released from rest in the horizontal position shown, find its angular velocity as it passes the vertical position. Neglect friction effects. 4 Type here to search ThinkVision K - Pan Tab Cape Look Esc Q A Z G FT W S # ONDA 3 F2 E D A $ 4 R F 5 F4 T G XCVB 8 a Y H N P6 F6 U J M F7 K ( F8 F10 F11 +Backspace Enter T F12 Shift Print Screen SysRq Insert 0.5 m Scroll Lock Delete Home Break End Page Up Page Down Naam Lock K 37°F Cloudy Home Lenovo B 20
1- The roller coaster car has a brake and return system that has characteristics of a spring with a constant 45 lbs / ft. If the car has an initial velocity of 3 ft / s, determine the total force that the brake and return system must store. Assume that there is no friction, that the travel on the flat (from D to the spring) is 350 feet, and that the test weight of the car with passengers is 1000 Ibs. What does the sign of the answer mean? r=240 ft 90 ft RESORTE 60 ft