Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 21.3, Problem 31P
To determine
The kinetic energy of
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Chapter 21 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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- The clockwise angular velocity of the AB rod of the knuckle is 0 = 50° while 20 rad/s. Thisdetermine the angular velocities (magnitude and direction) of the BC element and wheel at the moment.arrow_forwardIn the mechanism shown below, the wheel is pinned at the center. The radius from O to C is 0.2 m and link CB is 0.55 m long. CB makes an initial angle of 25° with the horizontal as shown. The hydraulic ram at B is moving left at 7 m/s. At the moment shown, what is the angular velocity of link BC and the wheel pivoted at 0? 0000 Ninbet tatis rad/sarrow_forwardThe slender rod AB is attached by a clevis to arm BCD that rotates with a constant angular velocity w about the centerline of its vertical portion CD . Determine the magnitude of the angular velocity. Determine the magnitude of the angular velocity w.arrow_forward
- Rod AB of the mechanism rotates clockwise with a constant angularvelocity of 20 rad/s. Determine the total kinetic energy of the mechanism in the position shown. The mass of each bar is 3 kg/m.arrow_forwardThe telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. 1.72 m A Answers: Vo = W= 0.60 m 1.075 i 1.25 m/s rad/sarrow_forwardDetermine the angular velocity (positive if counterclockwise, negative if clockwise) of link BC for the instant indicated. In case (a), the center O of the disk is a fixed pivot, while in case (b), the disk rolls without slipping on the horizontal surface. In both cases, the disk has clockwise angular velocity w = 1.9 rad/s. Neglect the small distance of pin A from the edge of the disk. The radius r = 690 mm. C r A 2r A 2r (a) (b) B r Barrow_forward
- The belt around the pulley, which weighs 60 lb and has a radius of gyration of 10”, has tensions applied to it on either side, as shown, for 8 seconds after the block has been dropped from rest. Determine the angular velocity of the pulley.arrow_forwardthe angular velocity of AB is 4rad/s CW. Determine the velocity of the piston at D if Velocity of B is 2rad/s.arrow_forwardDetermine the angular velocity of thetelescoping link AB for the position shownwhere the driving links have the angularvelocities indicated.arrow_forward
- The bar AB is uniform and has a mass of 50.0 kg. At the moment shown, the rod has an angular velocity of 4.00 rad/s and spring is stretched by 0.30 m. The force constant of the spring is 25.0 N/m.a) Determine whether or not the bar will reach the horizontal position.b) If the bar becomes horizontal, calculate its angular velocity at that position. If not, calculate the angle the bar makes with the horizontal when it comes to rest momentarily.arrow_forwardIn the mechanism shown, find the angular velocities of both bars, and the velocity of point B.arrow_forward2. A telephone cable reel rolls without slipping on a horizontal surface. If point A on the cable has a velocity of 0.6 m/s to the right, find the angular velocity of the reel and velocity of the center O. 1.8 m -0.6 m Aarrow_forward
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