Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 14.2, Problem 14.40P
A 40-lb block B is suspended from a 6-ft cord attached to a 60-lb cart A, which may roll freely on a frictionless, horizontal track. If the system is released from rest in the position shown, determine the velocities of A and B as B passes directly under A.
Fig. P14.40
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Two 2.6-lb collars A and B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about CD . The two collars are connected by a cord running over a pulley that is attached to the frame at O and a stop prevents collar B from moving. The frame is rotating at the rate 0 =12 rad/s and r= 0.6 ft when the stop is removed allowing collar A to move out along rod OE . Neglecting friction and the mass of the frame, determine, for the position r= 1.2 ft, (a) the transverse component of the velocity of collar A, (b) the tension in the cord and the acceleration of collar A relative to the rod OE.
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* Incorrect
A 2.9-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed
of 8.0 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate at
which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible.
3.1'
ACO
Answers:
N =
v=
i
-0.848
-16.73
lb
ft/sec²
Chapter 14 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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