A cubic block of mass m and side b is placed on a smooth floor. A smooth and rigid rod of length L and with negligible mass is leaning against the block. A sphere of mass M is attached to the upper end of rod. The lower end of the rod is fixed at point O, but it can rotate freely around the point in the vertical plane. Initially the angle between the rod and the floor is αα while the system is at rest. After releasing, find the speed of the block when the angle between rod and the floor is β.

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter1: Introduction: The Nature Of Science And Physics
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A cubic block of mass m and side b is placed on a smooth floor. A smooth and rigid rod of length L and with negligible mass is leaning against the block. A sphere of mass M is attached to the upper end of rod. The lower end of the rod is fixed at point O, but it can rotate freely around the point in the vertical plane. Initially the angle between the rod and the floor is αα while the system is at rest. After releasing, find the speed of the block when the angle between rod and the floor is β.

A
MgL (sin a – sin ß)
"V mb
2
-
ML? sin* B
B
2MGL (sin a – sin B)
"V
mb + ML? sin* B
2
2MGL (sin a – sin ß)
mb + ML? cos+ B
MgL (sin a - sin B)
mb? + ML? cos“ B
Transcribed Image Text:A MgL (sin a – sin ß) "V mb 2 - ML? sin* B B 2MGL (sin a – sin B) "V mb + ML? sin* B 2 2MGL (sin a – sin ß) mb + ML? cos+ B MgL (sin a - sin B) mb? + ML? cos“ B
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