MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
15th Edition
ISBN: 9780137519170
Author: HIBBELER
Publisher: PEARSON
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Chapter 18, Problem 7RP
To determine
The velocity of the collar when the rod becomes horizontal.
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The 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
N
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 vertical plane. At the instant when Angle theta = 30°, the velocity of roller A is 13 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 ofthe 6-lb force P. Neglect the friction and the mass of the small rollers.
The slotted arm OB rotates in a horizontal plane about point O of the fixed circular cam with constant angular velocity 0 = 10rad/s.
The spring has a stiffness of 6.4 kN/m and is uncompressed when 80. The smooth roller A has a mass of 0.36 kg. Determine the
normal force N which the cam exerts on A and also the force R exerted on A by the sides of the slot when 8 52°. The force R is positive
if contact is with the lower surface. All surfaces are smooth. Neglect the small diameter of the roller.
Answers:
N=
R=
0.19
m
0.19
m
B
278.166820949951087 N
N
Chapter 18 Solutions
MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
Ch. 18 - The 80-kg wheel has a radius of gyration about its...Ch. 18 - The uniform 50-lb slender rod is subjected to a...Ch. 18 - The uniform 50-kg slender rod is at rest m the...Ch. 18 - The 50-kg wheel is subjected to a force of 50 N....Ch. 18 - If the uniform 30-kg slender rod starts from rest...Ch. 18 - The 20-kg wheel has a radius of gyration about its...Ch. 18 - At a given instant the body of mass m has an...Ch. 18 - A force of P = 20 N is applied to the cable, which...Ch. 18 - A force of P = 20 N is applied to the cable, which...Ch. 18 - The double pulley consists of two parts that are...
Ch. 18 - The double pulley cons1sts of two parts that are...Ch. 18 - Prob. 9PCh. 18 - The 10-kg uniform slender rod is suspended at rest...Ch. 18 - Prob. 14PCh. 18 - The pendulum consists of a 10-kg uniform disk and...Ch. 18 - The center O of the thin ring of mass m is given...Ch. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 27PCh. 18 - The 10-kg rod AB is pin connected at A and...Ch. 18 - Motor M exerts a constant force of P = 750 Non the...Ch. 18 - The two 2-kg gears A and B are attached to the...Ch. 18 - F187. If the 30-kg disk is released from rest when...Ch. 18 - The 50-kg reel has a radius of gyration about its...Ch. 18 - The 60-kg rod OA is released from rest when = 0....Ch. 18 - Prob. 10FPCh. 18 - The 30-kg rod is released from rest when = 45....Ch. 18 - Prob. 12FPCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - The 40-kg wheel has a radius of gyration about its...Ch. 18 - The assembly consists of two 10-kg bars which are...Ch. 18 - The assembly consists of two 10-kg bars which are...Ch. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - If the 250-lb block is released from rest when the...Ch. 18 - The slender 15-kg bar is initially at rest and...Ch. 18 - The 50-lb wheel has a radius of gyration about its...Ch. 18 - The system consists of 60-lb and 20-lb blocks A...Ch. 18 - The pendulum of the Charpy impact machine has a...Ch. 18 - Prob. 2RPCh. 18 - The drum has a mass of 50 kg and a radius of...Ch. 18 - The spool has a mass of 60 Kg and a radius of...Ch. 18 - Prob. 5RPCh. 18 - At the Instant shown, the 50-lb bar rotates...Ch. 18 - Prob. 7RPCh. 18 - Prob. 8RP
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- The uniform 24-kg plate is released from rest at the position shown. Determine its initial angular acceleration and the horizontal and vertical reactions at the pin A. A | 0.5 m 0.5 marrow_forwardAt the instant shown both rods of negligible mass swing with a counterclockwise angular velocity of w = while the 50-kg bar is subjected to the 100-N horizontal force. Determine the tension developed in the rods and the angular acceleration of the rods at this instant. 5 rad/s,arrow_forward3. A yo-yo has a weight of 0.3 lb and a radius of gyration ko = 0.06 ft. If it is released from rest, determine how far it must descend in order to attain an angular velocity @ = 70 rad/s. neglect the mass of the string and assume that the string is wound around the central peg such that the mean radius at which it unravels is r = 0.02 ft.arrow_forward
- The 1.2-kg uniform slender bar rotates freely about a horizontal axis through O. The system is released from rest when it is in the horizontal position 0 = 0 where the spring is unstretched. If the bar is observed to momentarily stop in the position 0 = 50° determine the spring constant k. For your computed value of k, what is the angular velocity of the bar when 0 = 35°? 0.6 m 0.6 m 1.2 kg 0.2 m wwwarrow_forwardThe 2.15-kg uniform slender bar rotates freely about a horizontal axis through O. The system is released from rest when it is in the horizontal positione = 0 where the spring is unstretched. If the bar is observed to momentarily stop in the position e = 46?, determine the spring constant k. For your computed value of k, what is magnitude of the angular velocity of the bar when e = 12°. 0.63 m 0.63 m 2.15 kg 0.22 m Answers: k = N/m rad/sarrow_forwardThe 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_forward
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- Member AB is uniform and has a mass of 150 kg. It is released from rest in the position shown, and the spring has an initial tension of 500 N. When member AB is horizontal it has a clockwise angular velocity of 2.00 rad/s. Calculate the force constant of the spring if the guide blocks A and B are massless.arrow_forwardThe two balls are attached to the light rigid rod, which is suspended by a cord from the support above it. If the balls and rod, initially at rest, are struck with the force F = 11.7 lb, calculate the magnitudes of the corresponding acceleration a of the mass center and the rate at which the angular velocity of the bar is changing. ↑ 8.0" & 3.6" + 5.1" 10.2" Answers: ā= Ö= i i F 4.18 lb 2.93 lb ft/sec² rad/sec²arrow_forward1. If the cord is subjected to a horizontal force of P = 150N, and gear is supported by a fixed pin at O, determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50-kg and it has a radius of gyration of ko = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth. 75 mm P = 150 N 150 mmarrow_forward
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