4 A massless rod has three masses (each has m 10 gm) attached to it as shown in the figure below. The rod is rotating freely in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t 0. If each mass is 10 gm and d is 20 cm, find: a) The moment of inertia of the system of the three particles about the pivot, b) The torque acting on the system at t 0, c) The angular acceleration of the system att 0, d) The linear acceleration of the particle labeled 3 att- 0, e) The maximum kinetic energy of the system, fThe maximum angular speed reached by the rod, g) The maximum angular momentum of the system, and h) The maximum seed reached by the partidle labeled 2 2d P m 3 d d

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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4
A massless rod has three masses (each has m 10 gm) attached to it as shown in the figure below. The
rod is rotating freely in a vertical plane about a frictionless axle perpendicular to the rod through the
point P and is released from rest in the horizontal position at t 0. If each mass is 10 gm and d is 20
cm, find:
a) The moment of inertia of the system of the three particles about the pivot,
b) The torque acting on the system at t 0,
c) The angular acceleration of the system att 0,
d) The linear acceleration of the particle labeled 3 att- 0,
e) The maximum kinetic energy of the system,
fThe maximum angular speed reached by the rod,
g) The maximum angular momentum of the system, and
h) The maximum seed reached by the partidle labeled 2
2d
P
m
3
d
d
Transcribed Image Text:4 A massless rod has three masses (each has m 10 gm) attached to it as shown in the figure below. The rod is rotating freely in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t 0. If each mass is 10 gm and d is 20 cm, find: a) The moment of inertia of the system of the three particles about the pivot, b) The torque acting on the system at t 0, c) The angular acceleration of the system att 0, d) The linear acceleration of the particle labeled 3 att- 0, e) The maximum kinetic energy of the system, fThe maximum angular speed reached by the rod, g) The maximum angular momentum of the system, and h) The maximum seed reached by the partidle labeled 2 2d P m 3 d d
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