PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 19, Problem 50P
The 20-kg disk strikes the step Without rebounding. Determine the largest angular velocity ω1 the disk can have and not lose contact with the step, A.
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The 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.
The torsional spring is untwisted when the slender uniform rod is in the vertical position. The rod has a length of 0.81 m
and a mass of 4.7 kg. The rod is released from rest in the horizontal position shown. What should the stiffness Kof the
spring be so that the rod will have an angular speed of o = 4 rad/s when it passes the vertical position? The rod rotates
freely about the fixed pin support at O. The motion occurs in a vertical plane. Choose the correct answer.
The uniform 80 kg slender rod is at rest
in the position shown when P = 450 N is
applied. Determine the value of angular
velocity, w2 the rod if L1 = 5.5
m and L2 = 6.5 m.
A
L
L2
L1
B
Chapter 19 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 19 - The 60-kg wheel has a radius of gyration about its...Ch. 19 - Prob. 2FPCh. 19 - Prob. 3FPCh. 19 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19 - The 50-kg spool is subjected to a horizontal force...Ch. 19 - Prob. 6FPCh. 19 - The rigid body (slab) has a mass m and rotates...Ch. 19 - Prob. 2PCh. 19 - Show that if a slab is rotating about a fixed axis...Ch. 19 - Prob. 21P
Ch. 19 - The two gears A and B have weights and radii of...Ch. 19 - The 30-kg gear is subjected to a force of P =...Ch. 19 - Prob. 27PCh. 19 - The turntable T of a record player has a mass of...Ch. 19 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19 - Prob. 31PCh. 19 - Disk A has a weight of 20 lb. An inextensible...Ch. 19 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19 - A thin rod of mass m has an angular velocity o...Ch. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 44PCh. 19 - The 10-lb block is sliding on the smooth surface...Ch. 19 - Prob. 46PCh. 19 - The pendulum consists of a 15-kg solid ball and...Ch. 19 - Prob. 48PCh. 19 - The 20-kg disk strikes the step Without...Ch. 19 - The solid ball of mass m is dropped with a...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - Prob. 58PCh. 19 - The cable is subjected to a force of P = (10t2)...Ch. 19 - Prob. 2RPCh. 19 - The tire has a mass of 9 kg and a rad1us of...Ch. 19 - Prob. 4RPCh. 19 - The spool has a weight of 30 lb and a radius of...Ch. 19 - Prob. 6RPCh. 19 - Prob. 7RPCh. 19 - Prob. 8RP
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- 3. The 300-kg gear has a radius of gyration about its center of mass O of ko = 400 mm. If the wheel is subjected to a couple moment of M= 300 N-m, determine its angular velocity 6 s after it starts from rest and no slipping occurs. Also determine the friction force that the ground applies to the wheel. Solve the problem using Impulse and Momentum. M 300 Nm 0.6 marrow_forwardIn the figure, rod AB has a mass of 10 kg, and must slide within the slots as shown. If the spring is unstretched when θ = 0°, determine the angular velocity of the bar when it reaches that angle after being released from θ = 30°.arrow_forwardThe uniform semicircular bar of radius r = 120 mm and mass m = 3.2 kg rotates freely about a horizontal axis through the pivot O. The bar is initially held in position 1 against the action of the torsional spring and then suddenly released. Determine the spring stiffness kt which will give the bar a counterclockwise angular velocity w = 4.3 rad/s when it reaches position 2, at which the spring is undeformed. KT m 1 2 A' (0)arrow_forward
- The small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the slots, which lie in the verticalplane. At the instant when θ = 30°, the velocity of roller A is 14 ft/s down the vertical slot. Determine the angular acceleration of the bar, the acceleration of mass center G, and the reactions of points A and B, under the action of the 6-lb force P. Neglect the friction and the mass of the small rollers.arrow_forwardThe uniform rectangular block with the given dimensions is dropped from rest from the position shown. Corner A strikes the ledge at B and becomes latched to it. Determine the angular velocity w of the block immediately after it becomes attached to B. Also find the percentage n of energy loss during the corner attachment. Use the values h = 340 mm, b = 520 mm, and c = 810 mm. The angular velocity is positive if counterclockwise, negative if clockwise. Answers: ω- rad/s n = %arrow_forwardThe slender 12-kg bar has a clockwise angular velocity of w = 2 radis when it is in the position shown. Determine its angular acceleration and the normal reactions of the smooth surface A and B at this instant. 3 marrow_forward
- The torsional spring is untwisted when the slender uniform rod is in the vertical position. The rod has a length of 0.79 m and a mass of 4.4 kg. The rod is released from rest in the horizontal position shown. What should the stiffness K of the spring be so that the rod will have an angular speed of = 3.5 rad/s when it passes the vertical position? The rod rotates freely about the fixed pin support at O. The motion occurs in a vertical plane. Choose the correct answer. a) 21.8 N.m/rad b) 17.9 N.m/rad c) 19.5 N.m/rad d) 18.4 N.m/rad e) 20.2 N.m/radarrow_forwardThe cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown. The mass of the cylinder is 2.5 kg and its radius is 205 mm. If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.arrow_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
- A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at k, = 0.6 m.arrow_forwardGiven: The 30 kg rod is released from rest when 0 = 0°. The spring is unstretched when = 0°. Find: The angular velocity of the rod when 0 = 30°. 1.5 m 2 m k=80 N/marrow_forwardThe wheel has mass m and centroidal radius of gyration (k bar) and rolls without slipping up the incline under action force P. The force is applied to the end of a cord which is wrapped securely around the inner hub of the wheel as shown. Determine the speed Vo of the wheel center O after the wheel center has traveled a distance d up the incline. The wheel is at rest when the force P is first applied.arrow_forward
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