PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 21, Problem 54P
To determine
The normal and frictional force disk exerts on the ground.
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The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μkμk = 0.2. Neglect the mass of the
Determine the angular acceleration of the disk measured counterclockwise .
Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.
The position of the small 0.68-kg blocks in the smooth radial slots in the disk which rotates about a vertical axis at O is used to activate a speed-control mechanism. If each block moves from r = 162 mm to r = 200 mm while the speed of the disk changes slowly from 272 rev/min to 382 rev/min, design the spring by calculating the spring constant k of each spring. The springs are attached to the inner ends of the slots and to the blocks.
The 40-kg disk is rotating at e = 100 rad/s. When the force
Pis applied to the brake as indicated by the graph. If the
cocfficient of kinetic friction at B is pe= 0.3, determine
the time t needed to stay the disk from rotating. Neglect the
thickness of the brake.
Chapter 21 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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- The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.arrow_forwardThe 6-kg homogeneous sphere is released from rest on the ramp. If 0 = 30°, r = 0.2 m, u, = 0.4, and u, = 0.2, determine the acceleration of the center of mass G and the friction force exerted by the ramp on the sphere. ( m, ī •Garrow_forwardThe flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the 0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m. Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.) Answers: X = wwwwwwww N = i i -74-74- mm mm mm Narrow_forward
- The spring-held follower AB has a mass of 0.5 kg and moves back andforth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z =(0.02 cos 2θ) m. If the cam is rotating at a constant rate of 30 rad/s, determine theforce component Fz at the end A of the follower when θ = 30°. The spring isuncompressed when θ = 90°. Neglect friction at the bearing C.arrow_forwardThe spring-mounted 0.62-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate ở = 6.3 rad/s. At a certain instant, ris increasing at the rate of 630 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.46, calculate the friction force F exerted by the rod on the collar at this instant. Vertical Answer: F = i Narrow_forwardThe wheel has a mass of 25 kg and a radius of gyration kb = 0.15m. It is originally spinning at @=40 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is uc = 0.5, determine the time required for the motion to stop. What are the horizontal and vertical components of reaction which the pin at A exerts on AB during this time? Neglect the mass of -0.4 m AB. 0.2 m- B 0.3 m Iarrow_forward
- The smooth surface of the vertical cam is defined in part by the curve r =(0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of 2rad/s^2, and when θ = 45° the angular velocity is 6 rad/s. Determine the force the camand the rod exert on the 2-kg roller at this instant. The attached spring has a stiffnessk = 100 N/m and an unstretched length of 0.1 m.arrow_forwardThe spring-held follower AB has a weight of 0.75 lb and moves back and forth as its end rolls on the contoured surface of the cam, where r=0.2 ft and z = (0.1sine) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force at the end A of the follower when e=90°. In this position the spring is compressed 0.4 ft. Neglect friction at the bearing C. z = 0.1 sin 20 0.2 ft e = 6 rad/s k = 12 lb/ft Fs FA- Tarrow_forwardIf the coefficient of static friction between the 50-lb roller and the ground is u, = 0.25, determine the maximum force P that can be applied to the handle, so that roller rolls on the ground without slipping. Also, find the angular acceleration of the roller. Assume the roller to be a uniform cylinder.arrow_forward
- The solid homogeneous cylinder is released from rest on the ramp. Determine the magnitudes of the acceleration of the mass center G and the friction force exerted by the ramp on the cylinder. Assume r = 6.8 in., W = 9.1 lb, 0 = 47°, Ms = 0.39, Mk = 0.25. Answers: aG W F= i i Hs HR ft/sec² lbarrow_forward2) The shown spool has a mass of 450 kg and a radius of gyration k. =1.2m. It rests on the surface of conveyer belt for which the coefficient of friction u = 0.5. If the conveyer accelerates at 1.2m/ S²and the spools rolls without slipping, determine the tension in the wire and the angular acceleration of the spool 0.8 m 1.6 m acarrow_forwardThe spring-mounted 0.92-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate 0 = 6.5 rad/s. At a certain instant, r is increasing at the rate of 850 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.52, calculate the friction force F exerted by the rod on the collar at this instant. Answer: Fi Vertical Narrow_forward
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