PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 18, Problem 11FP
The 30-kg rod is released from rest when θ = 45°. Determine the angular velocity of the rod when θ = 0°. The spring is unstretched when θ = 45°.
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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.
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Chapter 18 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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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- 4. The 10-kg rod AB is pin-connected at A and subjected to a couple moment of M = 15 Nm. If the rod is released from rest when the spring is unstretched at 8 = 30°, determine the angular velocity of the rod at the instant 0 = 60°. Thanks to the roller support at C, the spring always remains horizontal when the rod rotates. A O k= 40 N/m M=15 N·m 0.75 marrow_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 10-kg rod AB shown is confined so that its ends move in the horizontal andvertical slots. The spring has a stiffness of k = 800N/m and is unstretched when θ = 0˚.Determine the angular velocity of AB when θ = 0˚, if the rod is released from rest when θ = 30˚.Neglect the mass of the slider blocks. It’s frictionless.arrow_forward
- The assembly consists of two 10-kg bars which are pin connected. If the bars are released from rest when 0 = 60°, determine their angular velocities at the instant 0 = 30°. The 5-kg disk at C has a radius of 0.5 m and rolls without slipping. A 3 m B 3 m Carrow_forwardA 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_forwardThe 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_forward
- At the instant shown, link CD rotates with an angular velocity of @, = 8 rad/s. If link CD is subjected to a couple moment of M= 650 lb- ft, determine the force developed in link AB and the angular acceleration of the links at this instant. Neglect the weight of the links and the platform. The crate weighs 100 lb and is fully secured on the platform. 1 ft 4 ft @CD = 8 rad/s M = 650 lb-ft - 3 ftarrow_forwardThe 12-kg slender rod is pinned to a small roller that slides freely in the slot. If the rod is released from rest with θ = 0o , determine the angular acceleration of the rod and the linear acceleration of the center of mass immediately after release.arrow_forwardAt the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.arrow_forward
- The 30 kg rod is released from rest when theta =0°. The spring is unstretched when theta = 0°. Find the angular velocity of the rod when theta = 30° and length of stretched spring is 1 m.arrow_forwardTwo wheels of negligible weight are mounted at corners 4 and B of the rectangular 50-lb plate. If the plate is released from rest at 0= 60°, determine its angular velocity at the instant just before 6 30°.arrow_forwardThe vertical bar AB has a mass of 150 kg with center of mass G midway between the ends. The bar is elevated from rest at θ = 0 by means of the parallel links of negligible mass, with a constant couple M = 5 kN∙m applied to the lower link at C. Determine the angular acceleration α of the links as a function of θ and find the force B in the link DB at the instant when θ = 30°.arrow_forward
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