4. The rod AB, with mass M, length L (thus Ic.G. = ML?) is released from the position shown, from rest. There is no friction between the ground and the wheels of the cart C, or at the pin support A. The cart has a mass 3M. At the instant the rod passes through the six o'clock position: а. Find the velocity of the center of mass of AB (vAR), in terms of the velocity of the cart (e.g., in terms of vo where vc = vo i). b. Angular velocity of the rod (w), in terms of the speed of the cart. Find vc in terms of L, g - recall sin 30 = 0.5 с. 5 ft 30° AO

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Dynamics
4.
The rod AB, with mass M, length L (thus Ic.G. = ML²) is released from the
position shown, from rest. There is no friction between the ground and the wheels of the cart C, or
at the pin support A. The cart has a mass 3M. At the instant the rod passes through the six o'clock
position:
а.
Find the velocity of the center of mass of AB (vAB), in terms of the velocity of the cart
(e.g., in terms of vo where vc = vo i).
b.
Angular velocity of the rod (w), in terms of the speed of the cart.
Find vc in terms of L, g
recall sin 30 = 0.5
с.
5 ft
30°
A O
C
Transcribed Image Text:4. The rod AB, with mass M, length L (thus Ic.G. = ML²) is released from the position shown, from rest. There is no friction between the ground and the wheels of the cart C, or at the pin support A. The cart has a mass 3M. At the instant the rod passes through the six o'clock position: а. Find the velocity of the center of mass of AB (vAB), in terms of the velocity of the cart (e.g., in terms of vo where vc = vo i). b. Angular velocity of the rod (w), in terms of the speed of the cart. Find vc in terms of L, g recall sin 30 = 0.5 с. 5 ft 30° A O C
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