R mb Side View An axle passes through a pulley. Each end of the axle has a string that is tied to a support. A third string is looped many times around the edge of the pulley and the free end attached to a block of mass m, , which is held at rest. When the block is released, the block falls downward. Consider clockwise to be the positive direction of rotation, frictional effects from the axle are negligible, and the string wrapped around the disk never fully unwinds. The rotational inertia of the pulley is MR about its center of mass.

R mb Side View An axle passes through a pulley. Each end of the axle has a string that is tied to a support. A third string is looped many times around the edge of the pulley and the free end attached to a block of mass m, , which is held at rest. When the block is released, the block falls downward. Consider clockwise to be the positive direction of rotation, frictional effects from the axle are negligible, and the string wrapped around the disk never fully unwinds. The rotational inertia of the pulley is MR about its center of mass.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A solid uniform 3.25-kg cylinder, 65.0 cm in diameter and 12.4 cm long, is connected to a 1.50-kg weight over two massless frictionless pulleys as shown in the figure below (Figure 1). The cylinder is free to rotate about an axle through its center perpendicular to its circular faces, and the system is released from rest. Figure 3.25 kg 1 of 1 1.50 kg Part A How far must the 1.50-kg weight fall before it reaches a speed of 2.40 m/s? Express your answer in meters. 17| ΑΣΦ d = Submit Part B Request Answer How fast is the cylinder turning at this instant? Express your answer in radians per second. VE ΑΣΦ) ? ? m
2.0 kg 10 kg p 3.0 m r 1.0 m For the seesavw depicted in the diagram, which of the following will happen? O The seesaw will rotate counterclockwise. The seesaw will rotate clockwise. The seesaw will remain balanced. O You cannot tell from the information provided.
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Bucket A and block C are connected by a cable that passes over drum B. Drum B rotates slowly counterclockwise and the coefficients of friction at all surfaces are μ = 0.35 and μ = 0.25. Given: W= 120 kg. m B W 30° Determine the smallest combined mass m of the bucket and its contents for which block C will remain at rest. The smallest combined mass m of the bucket and its contents for which block C will remain at rest is 28.896 kg.
A spherical glass bead of mass M and radius R is releasedfrom rest at the top of an inclined track (angle  with thehorizontal) that ends in a curved section of radius r. Theglass bead rolls down the incline without slipping; there isfriction between the ramp and the glass bead. The momentof inertia of the glass bead is I = 2/5 MR2 Draw a force diagram for the glass bead on the ramp.Label all forces clearly Determine the linear acceleration of the marble when it is rolling down the incline. Your answer will be interms of theta and g . Determine the speed of the marble at the lowest point of the incline in terms of H and g.
A pulley is bolted to a wall as shown. The pulley is a flat disk of mass mp, radius R and moment of inertia I = mpR². A mass MH hangs from it by a rope that is wound about the pulley and does not slip. a. Give an appropriate force diagram for each of the two masses. b. Write ALL equations necessary to solve for the linear acceleration of MH. B мн
A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Draw free body diagrams for the disk and the hanging mass. b) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. c) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants.
A weight is tied to a rope that is wrapped around a pulley. The pulley is initially rotating counterclockwise and is pulling the weight up. The tension in the rope creates a torque on the pulley that opposes this rotation. a) On the axes below, draw a graph of the angular velocity versus time for the period from the initial instant shown until the weight comes back down to the same height. Take the initial angular velocity as positive. b) Draw a graph of the angular acceleration versus time for the same time period.
A string is wound around a solid disk with radius of 0.080m and mass of 0.65kg. An object with a mass of 0.50kg is attached to the string.a. Find the acceleration of the hanging mass when it is released.b. Through what angle (in radians) does the disk turn in 1.0s if the disk starts atrest?c. What vertical distance would the mass fall during the 1.0s?
Two forces act on a uniform disk with a radius of 2.0 cm and a mass of 20.0 g which is initially at rest. After 1.25 s the disk has an angular velocity of 250 rad/s counterclockwise. Determine the force F2 if F1 has a magnitude of 0.1 N. Write your answer to the hundredth newton.
Consider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. b. The triceps muscle at the back of her upper arm has an effective lever arm of 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? d. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.
When tightening a bolt, you push perpendicularly on a wrench with a force of 150 N at a distance of 0.175 m from the center of the bolt. a.) How much torque are you exerting on the wrench, in newton meters, relative to the center of the bolt? b.) What is this torque, in pound-foot?
Problem 7: Consider the pulley and mass configuration shown. The pulley can be modeled as a solid disk. Assume m¡ is accelerating downwards. T2 m, m2 What is the correct equation of motion (N2L equation) for the pulley?