VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
12th Edition
ISBN: 9781260916942
Author: BEER
Publisher: MCG
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Chapter 14.2, Problem 14.50P
Three small spheres A, B, and C, each of mass m, are connected to a small ring D of negligible mass by means of three inextensible, inelastic cords of length l. The spheres can slide freely on a frictionless horizontal surface and are rotating initially at a speed v0 about ring D, which is at rest. Suddenly the cord CD breaks. After the other two cords have again become taut, determine (a) the speed of ring D, (b) the relative speed at which spheres A and B rotate about D, (c) the fraction of the original energy of spheres A and B that is dissipated when cords AD and BD again became taut.
Fig. P14.50
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Problem 4: Amerry-go-round is a playground ride that consists of a large disk mounted to
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Randomized Variables
R = 1.1 meters
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Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m?.
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Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the
merry-go-round.
Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy.
Part (d) The…
Slider C has a mass of 0.5 kg and
may move in a slot cut in arm AB,
which rotates at constant speed in a
horizontal plane. The slider is
attached to a spring of constant
k = 150 N/m, which is unstretched
when r = 0.
When arm AB rotates about the
vertical axis, the slider moves
without friction outward along the
smooth slot cut. Determine for the
position r = 80 mm:
a) The constant speed (V) of the
slider.
b) The normal force (N) exerted on
the slider by arm AB.
A
r=80mm
B
Two identical spheres A and B each of mass m , are attached to an inextensible inelastic cord of length L and are resting at a distance a from each other on a frictionless horizontal surface. Sphere B is given a velocity v0 in a direction perpendicular to line AB and moves it without friction until it reaches B ’ where the cord becomes taut. Draw the impulse-momentum diagram that can be used to determine the magnitude of the velocity of each sphere immediately after the cord has become taut.
Chapter 14 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
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