Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 19.4, Problem 31P
To determine
The angular velocity of the disk just after the bullet becomes embedded into its edge and the angle
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Chapter 19 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - The 60-kg wheel has a radius of gyration about its...Ch. 19.2 - Prob. 2FPCh. 19.2 - Prob. 3FPCh. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - Prob. 6FPCh. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - Prob. 2P
Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - Prob. 5PCh. 19.2 - Prob. 6PCh. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - Prob. 8PCh. 19.2 - Prob. 9PCh. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - The pulley has a weight of 10 lb and may be...Ch. 19.2 - Prob. 12PCh. 19.2 - Prob. 13PCh. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - Prob. 15PCh. 19.2 - Prob. 16PCh. 19.2 - Prob. 17PCh. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - Prob. 21PCh. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - Prob. 23PCh. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - Prob. 26PCh. 19.2 - Prob. 27PCh. 19.2 - Prob. 28PCh. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - Prob. 31PCh. 19.4 - Prob. 32PCh. 19.4 - Prob. 33PCh. 19.4 - Prob. 34PCh. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Prob. 41PCh. 19.4 - Prob. 42PCh. 19.4 - Prob. 43PCh. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Prob. 46PCh. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - Prob. 48PCh. 19.4 - The 20-kg disk strikes the step Without...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - Prob. 52PCh. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - Prob. 54PCh. 19.4 - Prob. 55PCh. 19.4 - Prob. 56PCh. 19.4 - Prob. 57PCh. 19.4 - Prob. 58PCh. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - Prob. 2RPCh. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - Prob. 4RPCh. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Prob. 6RPCh. 19.4 - Prob. 7RPCh. 19.4 - Prob. 8RP
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- The plank AB has a mass of 7 kg. The rollers D and E are each of mass 5kg and are 0.5 m in diameter. The plank is released from rest with roller D under the end A and the roller E, under the mass center C. assuming no slipping, determine the velocity of the plank when roller E is under end B.arrow_forwardEach of the two elastic rubber bands of the slingshot has an unstretched length of 200 mm. If they are pulled back to the position shown and released from rest, determine the maximum height the 25-g pellet will reach if it is fired vertically upward. Neglect the mass of the rubber bands and the change in elevation of the pellet while it is constrained by the rubber bands. Each rubber band has a stiffness k = 50 N/m.arrow_forwardThe 7.5-lb disk A has a radius r A = 6 in. and is initially at rest. The 10-lb disk B has a radius r B = 8 in. and an angular velocity w0 of 900 rpm when it is brought into contact with disk A. Neglecting friction in the bearings, determine (a) the final angular velocity of each disk, (b) the total impulse of the friction force exerted on disk A.arrow_forward
- The 1-meter long, 10-kg slender rod is released from rest when it is completely horizontal. The sliders move along frictionless guides and the spring attached to end A has a constant of k = 3 kN/m. If the spring is compressed by 300 mm when the rod is horizontal, find the angular velocity of the rod and the velocity of end A when the rod is at the position shown.arrow_forwardThe collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity v of the collar as it passes position B. Use point A as datum (starting point).arrow_forwardThe collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. Use point A as datum.arrow_forward
- The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 32 kg and a radius of gyration k_O = 260 mm. The men A and B have a mass of 60 kg and 70 kg, respectively. Assume they do not move relative to the rope during the motion. Neglect the mass of the rope. If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man A in 4.2 s starting from rest. vA= ??? If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man B in 4.2 s starting from rest. vB= ???arrow_forwardThe 5-kg collar slides along the curved smooth vertical rod.If the collar is released from rest at point A and the spring hasan un-stretched length of 200 mm. As the collar reach pointB determine:a) Its speed.b) The radial and transverse components of the velocity.arrow_forwardThe 12-kg slender rod is pinned to a small roller A that slides freely along the slot. If the rod is released from rest at f) = 0°, determine the angular acceleration of the rod and the acceleration of the roller immediately after the release.arrow_forward
- 19-35 The 10 kg bullet having of 800 m/s is fired into the edge of the 5 kg disk as shown. Determine the angular velocity of the disk just after the bullet becomes embedded into its edge. Also, calculate the angle the disk will swing when it stops. The disk is originally at rest. Neglect the mass of the rod AB.arrow_forwardThe small collr of mass m = 0.59 kg is eleased from rest at A and slides down the curved rod in the vertical plane with negligible friciton. Find the velocity of the collar as it strikes the base at B.arrow_forwardThe collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity v of the collar as it passes position B. Use a datum coinciding with B such that y axis is positive to the right and z axis is positive down.arrow_forward
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