Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 17.3, Problem 55P
To determine
The largest initial angular acceleration
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Chapter 17 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 17.1 - Determine the moment of inertia Iy for the slender...Ch. 17.1 - The solid cylinder has an outer radius R1 height...Ch. 17.1 - Determine the moment of inertia of the thin ring...Ch. 17.1 - The paraboloid is formed by revolving the shaded...Ch. 17.1 - Determine the radius of gyration kr of the body....Ch. 17.1 - The sphere is formed by revolving the shaded area...Ch. 17.1 - The frustum is formed by rotating the shaded area...Ch. 17.1 - Prob. 8PCh. 17.1 - Prob. 9PCh. 17.1 - The pendulum consists of a 4-kg circular plate and...
Ch. 17.1 - The assembly is made of the slender rods that have...Ch. 17.1 - Prob. 12PCh. 17.1 - The wheel consists of a thin ring having a mass of...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - Determine the moment of inertia about an axis...Ch. 17.1 - Prob. 16PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - Prob. 18PCh. 17.1 - Prob. 19PCh. 17.1 - Determine the moment of inertia of the wheel about...Ch. 17.1 - The pendulum consists of the 3-kg slender rod and...Ch. 17.1 - Prob. 22PCh. 17.1 - Determine the moment of inertia of the overhung...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Prob. 2PPCh. 17.3 - Prob. 1FPCh. 17.3 - Prob. 2FPCh. 17.3 - Prob. 3FPCh. 17.3 - Prob. 4FPCh. 17.3 - At the instant shown both rods of negligible mass...Ch. 17.3 - Prob. 6FPCh. 17.3 - The door has a weight of 200 lb and a center of...Ch. 17.3 - The door has a weight or 200 lb and a center of...Ch. 17.3 - The jet aircraft has a total mass of 22 Mg and a...Ch. 17.3 - The sports car has a weight of 4500 lb and center...Ch. 17.3 - The assembly has a mass of 8 Mg and is hoisted...Ch. 17.3 - The assembly has a mass of 4 Mg and is hoisted...Ch. 17.3 - The uniform girder AB has a mass of 8 Mg....Ch. 17.3 - A car having a weight of 4000 lb begins to skid...Ch. 17.3 - A force of P = 300 N is applied to the 60-kg cart....Ch. 17.3 - Determine the largest force P that can be applied...Ch. 17.3 - The trailer with its load has a mass of 150-kg and...Ch. 17.3 - The desk has a weight of 75 lb and a center of...Ch. 17.3 - The desk has a weight of 75 lb and a center of...Ch. 17.3 - The 150-kg uniform crate rests on the 10-kg cart....Ch. 17.3 - The 150-kg uniform crate rests on the 10-kg cart....Ch. 17.3 - The bar has a weight per length w and is supported...Ch. 17.3 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17.3 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17.3 - The uniform crate has a mass of 50 kg and rests on...Ch. 17.3 - Determine the acceleration of the 150-lb cabinet...Ch. 17.3 - Prob. 44PCh. 17.3 - Prob. 45PCh. 17.3 - Prob. 46PCh. 17.3 - Prob. 47PCh. 17.3 - The snowmobile has a weight of 250 lb, centered at...Ch. 17.3 - If the carts mass is 30 kg and it is subjected to...Ch. 17.3 - Prob. 50PCh. 17.3 - The pipe has a mass of 800 kg and is being towed...Ch. 17.3 - The pipe has a mass of 800 kg and is being towed...Ch. 17.3 - Prob. 53PCh. 17.3 - Prob. 54PCh. 17.3 - Prob. 55PCh. 17.3 - Prob. 56PCh. 17.4 - The 100-kg wheel has a radius of gyration about...Ch. 17.4 - Prob. 8FPCh. 17.4 - Prob. 9FPCh. 17.4 - Prob. 10FPCh. 17.4 - Prob. 11FPCh. 17.4 - Prob. 12FPCh. 17.4 - The 10-kg wheel has a radius of gyration kA = 200...Ch. 17.4 - The uniform 24-kg plate is released from rest at...Ch. 17.4 - The uniform slender rod has a mass m. If it is...Ch. 17.4 - The tent rod has a mass of 2 kg/m. If it is...Ch. 17.4 - If a horizontal force of P = 100 N is applied to...Ch. 17.4 - The 10-lb bar is pinned at its center O and...Ch. 17.4 - The 10-lb bar is pinned at its center O and...Ch. 17.4 - A cord is wrapped around the outer surface of the...Ch. 17.4 - Disk A has a weight of 5 lb and disk B has a...Ch. 17.4 - Prob. 66PCh. 17.4 - If the cord at B suddenly fails, determine the...Ch. 17.4 - Prob. 68PCh. 17.4 - The 20-kg roll of paper has a radius of gyration...Ch. 17.4 - The 20-kg roll of paper has a radius of gyration...Ch. 17.4 - The reel of cable has a mass of 400 kg and a...Ch. 17.4 - Prob. 72PCh. 17.4 - Cable is unwound from a spool supported on small...Ch. 17.4 - The 5-kg cylinder is initially at rest when it is...Ch. 17.4 - Prob. 75PCh. 17.4 - Prob. 76PCh. 17.4 - Disk D turns with a constant clockwise angular...Ch. 17.4 - Prob. 78PCh. 17.4 - Prob. 79PCh. 17.4 - Prob. 80PCh. 17.4 - Prob. 81PCh. 17.4 - Prob. 82PCh. 17.4 - Prob. 83PCh. 17.4 - Prob. 84PCh. 17.4 - Prob. 85PCh. 17.4 - Prob. 86PCh. 17.4 - Prob. 87PCh. 17.4 - The 100-kg pendulum has a center of mass at G and...Ch. 17.5 - The Catherine wheel is a firework that consists of...Ch. 17.5 - The uniform 60-kg slender bar is initially at rest...Ch. 17.5 - Prob. 14FPCh. 17.5 - Prob. 15FPCh. 17.5 - The 20- kg sphere rolls down the inclined plane...Ch. 17.5 - The 200-kg spool has a radius of gyration about...Ch. 17.5 - The 12-kg slender rod is pinned to a small roller...Ch. 17.5 - If the disk in Fig. 17-19 rolls without slipping,...Ch. 17.5 - The 20-kg punching bag has a radius of gyration...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - The tire has a weight of 30 lb and a radius of...Ch. 17.5 - The tire has a weight of 30 lb and a radius of...Ch. 17.5 - The spool has a mass of 100 kg and a radius of...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - The spool has a mass of 100 kg and a radius of...Ch. 17.5 - The 12-kg uniform bar is supported by a roller at...Ch. 17.5 - A force of F= 10 N is applied to the 10-kg ring as...Ch. 17.5 - If the coefficient of static friction at C is s =...Ch. 17.5 - The 25-lb slender rod has a length of 6 ft. Using...Ch. 17.5 - The 15-lb circular plate is suspended from a pin...Ch. 17.5 - If P = 30 lb, determine the angular acceleration...Ch. 17.5 - If the coefficient of static friction between the...Ch. 17.5 - The uniform bar of mass m and length L is balanced...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - The semicircular disk having a mass of 10 leg is...Ch. 17.5 - The 500-kg concrete culvert has a mean radius of...Ch. 17.5 - The 15-lb disk rests on the 5-lb plate. A cord is...Ch. 17.5 - The semicircular disk having a mass of 10 kg is...Ch. 17.5 - The circular concrete culvert rols with an angular...Ch. 17.5 - The uniform disk of mass m is rotating with an...Ch. 17.5 - The uniform disk of mass m is rotating with an...Ch. 17.5 - A cord is wrapped around each of the two 10-kg...Ch. 17.5 - The disk of mass m and radius r rolls without...Ch. 17.5 - The uniform beam has a weight W. If it is...Ch. 17.5 - The 500-lb beam is supported at A and B when it is...Ch. 17.5 - The solid ball of radius rand mass m rolls without...Ch. 17.5 - By pressing down with the finger at B, a thin ring...Ch. 17.5 - Prob. 1RPCh. 17.5 - Prob. 2RPCh. 17.5 - Prob. 3RPCh. 17.5 - Prob. 4RPCh. 17.5 - Prob. 5RPCh. 17.5 - Prob. 6RPCh. 17.5 - Prob. 7RPCh. 17.5 - Prob. 8RP
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- The trailer with its load has a mass of 200 kg and a center of mass at G. If it is subjected to a horizontal force of P = 1000 N, determine the trailer’s acceleration and the normal force on the pair of wheels at A and at B. The wheels are free to roll and have negligible mass.arrow_forwardThe spool has a mass of 200 kg and a radius of gyration of kG = 0.2 m. If the coefficients of static and kinetic friction at A are μs = 0.3 and μk = 0.2, respectively, determine the angularacceleration of the spool if P = 400 N.arrow_forwardThe man tries to reposition the 50 kg refrigerator in his kitchen by pushing it from rest with a force P = 170 N, inclined 30° from the horizontal at 1.60 m from the floor. The coefficient of non-sliding friction between the floor and the refrigerator is μs = 0.40.After pushing, the refrigerator started to tip. Which of the following quantities is ZERO at the instant described in the problem?a. friction at Ab. body's angular accelerationc. body's angular velocityd. the acceleration of mass center G Which of the following values is closest to the magnitude of the angular acceleration of the refrigerator?a. 7.57 rad/s^2b. 2.50 rad/s^2c. 1.892 rad/s^2d. 1.877 rad/s^2arrow_forward
- Determine the steady-state angle α if the constant force P = 180 N is applied to the cart of mass M = 9 kg. The cart travels on the slope of angle θ = 16°. The pendulum bob has mass m = 3 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction.arrow_forwardQ1: A cylindrical body has a mass Mand outer radius R (the moment of inertia I I= 1 2 MR^ 2 ) starts to roll from rest (upper position) down on an inclined surface. If the effect of friction force was ignored, determine the linear speed of the cylinder when it hits level ground a height h lower.arrow_forwardIf the 40kg box is moving with 1 m/s^2 acceleration to the right, determine the magnitude of normal force acting on the box, if F is 174 N. The coefficient of kinetic friction between the box and the ground is 0.3.arrow_forward
- If the cord at B suddenly fails, determine a) The angular acceleration of the beam. b) The horizontal and vertical components of the initial reaction at pin A. The beam has a mass of 50 kg. Treat the beam as a uniform slender rod.arrow_forwardTwo bodies A and B, each weighing 96.6 lb, are connected by a rigid bar of negligible weight attached to them at their gravity centers. The coefficient of friction at the wall and floor is 0.268 if the bodies start from rest at the given position, determine the acceleration of B at this instant. Simplify the solution by creating dynamic equilibrium and taking a moment summation about the intersection of the wall and floor reactions. Explain why these reactions pass through the gravity center of B and A respectively.arrow_forwardIn the equilibrium position, the 30 kg cylinder causes a static deflection of [60] mm in the coiled spring. If the cylinder is depressed an additional [45] mm and released from rest, calculate: The position , velocity and acceleration of the cylinder at t = 1.2 s.arrow_forward
- The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.13. The radius of gyration about the mass center is kG = 0.22 m Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwisearrow_forwardThe assembly consists of a 3-kg pulley A and 10-kg pulley B. If a 2-kg block is suspended from the cord, determine the distance the block must descend, starting from rest, in order to cause B to have an angular velocity of 6 rad/s. Neglect the mass of the cord and treat the pulleys as thin disks. No slipping occurs.arrow_forwardThe uniform bar has a mass m and length l. If it is released from rest when u = 0°, determine the angle u at which it first begins to slip. The coefficient of static friction at O is ms = 0.3.arrow_forward
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