EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 18, Problem 12FP
To determine
The angular velocity of the rod when
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The cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown.
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The 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.
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Chapter 18 Solutions
EBK ENGINEERING MECHANICS
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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- At 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_forwardThe 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_forwardThe 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 Barrow_forward
- The frame of the tandem drum roller has a weight of 4025 lb, excluding the two rollers. Each roller has a weight of 1610 lb and a radius of gyration about its center of 1.2 ft. For a short time, starting from rest, a torque of M = 300 lb ft is supplied to the rear roller. Determine the speed of the drum roller after it has moved forward 30 ft. Determine the time it took to travel the 30 ft.arrow_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_forward18–2. A force of P = 20 N is applied to the cable, which causes the 175-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. The radius of gyration of the reel about its center axis is 30° 250 mm kG = 0.42 m. OG 500 mm -400 mm-arrow_forward
- 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_forwardThe 14-kg bar AB is pivoted at A and is subjected to a moment M = 18 N.m. If the bar is released from rest when the spring is at its natural length at an angle 0 = 30°, determine the angular velocity of the bar at the instant 0 = 60°. Assume that the spring, thanks to the presence of the roller at C, always remains horizontal. k = 40 N/m M B 0.75 marrow_forwardThe 25-1b slender rod AB is attached to spring BC which has an unstretched length of 4 ft. If the rod is released from rest when 6-30°, determine its angular velocity at the instant = 90°. k-5 lb/ft 4 ftarrow_forward
- The 31-kg reel is mounted on the 16-kg cart. Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels. Part B: Determine the angular velocity of the reel when t = 4.2 s.arrow_forward18-6. A force of P=20 N is applied to the cable, which causes the 175-kg reel to turn without slipping 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 cable. Each roller can be considered as an 18-kg cylinder, having a radius of 0.1 m. The radius of gyration of the reel about its center axis is kg=0.42 m. 307 250 mm OG 500 mm 400 mm-arrow_forwardAt 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_forward
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