PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 17, Problem 13FP
The uniform 60-kg slender bar is initially at rest on a smooth horizontal plane when the forces are applied. Determine the acceleration of the bar’s mass center and the angular acceleration of the bar at this instant.
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
4
is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M
=
mgr
= -) derive an equation that can be used to
4
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
Please show all work step by step
Chapter 17 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 17 - Determine the moment of inertia Iy for the slender...Ch. 17 - The solid cylinder has an outer radius R1 height...Ch. 17 - Determine the moment of inertia of the thin ring...Ch. 17 - Prob. 9PCh. 17 - The pendulum consists of a 4-kg circular plate and...Ch. 17 - Prob. 12PCh. 17 - The wheel consists of a thin ring having a mass of...Ch. 17 - If the large ring, small ring and each of the...Ch. 17 - Determine the moment of inertia about an axis...Ch. 17 - Prob. 16P
Ch. 17 - Determine the location y of the center of mass G...Ch. 17 - Prob. 18PCh. 17 - Prob. 19PCh. 17 - Determine the moment of inertia of the wheel about...Ch. 17 - The pendulum consists of the 3-kg slender rod and...Ch. 17 - Prob. 22PCh. 17 - Determine the moment of inertia of the overhung...Ch. 17 - Prob. 1FPCh. 17 - Prob. 2FPCh. 17 - Prob. 3FPCh. 17 - Prob. 4FPCh. 17 - At the instant shown both rods of negligible mass...Ch. 17 - Prob. 6FPCh. 17 - The door has a weight of 200 lb and a center of...Ch. 17 - The door has a weight or 200 lb and a center of...Ch. 17 - The jet aircraft has a total mass of 22 Mg and a...Ch. 17 - The sports car has a weight of 4500 lb and center...Ch. 17 - The bar has a weight per length w and is supported...Ch. 17 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17 - Prob. 44PCh. 17 - If the carts mass is 30 kg and it is subjected to...Ch. 17 - Prob. 50PCh. 17 - Prob. 53PCh. 17 - Prob. 54PCh. 17 - The 100-kg wheel has a radius of gyration about...Ch. 17 - Prob. 8FPCh. 17 - Prob. 9FPCh. 17 - Prob. 10FPCh. 17 - Prob. 11FPCh. 17 - Prob. 12FPCh. 17 - The 10-kg wheel has a radius of gyration kA = 200...Ch. 17 - The uniform 24-kg plate is released from rest at...Ch. 17 - The uniform slender rod has a mass m. If it is...Ch. 17 - The tent rod has a mass of 2 kg/m. If it is...Ch. 17 - Disk A has a weight of 5 lb and disk B has a...Ch. 17 - Prob. 66PCh. 17 - The reel of cable has a mass of 400 kg and a...Ch. 17 - Prob. 72PCh. 17 - Cable is unwound from a spool supported on small...Ch. 17 - The 5-kg cylinder is initially at rest when it is...Ch. 17 - Prob. 76PCh. 17 - Disk D turns with a constant clockwise angular...Ch. 17 - Prob. 78PCh. 17 - Prob. 81PCh. 17 - Prob. 85PCh. 17 - The Catherine wheel is a firework that consists of...Ch. 17 - The uniform 60-kg slender bar is initially at rest...Ch. 17 - Prob. 14FPCh. 17 - Prob. 15FPCh. 17 - The 20- kg sphere rolls down the inclined plane...Ch. 17 - The 200-kg spool has a radius of gyration about...Ch. 17 - The 12-kg slender rod is pinned to a small roller...Ch. 17 - If the disk in Fig. 17-19 rolls without slipping,...Ch. 17 - The uniform 150-lb beam is initially at rest when...Ch. 17 - The spool has a mass of 100 kg and a radius of...Ch. 17 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17 - The spool has a mass of 100 kg and a radius of...Ch. 17 - A force of F= 10 N is applied to the 10-kg ring as...Ch. 17 - If the coefficient of static friction at C is s =...Ch. 17 - If P = 30 lb, determine the angular acceleration...Ch. 17 - If the coefficient of static friction between the...Ch. 17 - The semicircular disk having a mass of 10 leg is...Ch. 17 - The circular concrete culvert rols with an angular...Ch. 17 - The uniform disk of mass m is rotating with an...Ch. 17 - The uniform disk of mass m is rotating with an...Ch. 17 - The uniform beam has a weight W. If it is...Ch. 17 - The 500-lb beam is supported at A and B when it is...Ch. 17 - Prob. 1RPCh. 17 - Prob. 2RPCh. 17 - Prob. 3RPCh. 17 - Prob. 4RPCh. 17 - Prob. 5RPCh. 17 - Prob. 6RPCh. 17 - Prob. 7RPCh. 17 - Prob. 8RP
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