A solid cube of side 2a and mass Mis sliding on a frictionless surface with uniform velocity v as shown in Figure Pl1.50a. It hits a small obstacle at the end of the table that causes the cube to tilt as shown in Figure Pl1.5Ob. Find the minimum value of the magnitude of v such that the cube tips over and falls off the table. Note: The cube undergoes an inelastic col- lision at the edge. - 2a - M a b. Figure P11.50

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.30P
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A solid cube of side 2a and mass Mis sliding on a frictionless
surface with uniform velocity v as shown in Figure Pl1.50a.
It hits a small obstacle at the end of the table that causes the
cube to tilt as shown in Figure Pl1.5Ob. Find the minimum
value of the magnitude of v such that the cube tips over and
falls off the table. Note: The cube undergoes an inelastic col-
lision at the edge.
- 2a -
M
a
b.
Figure P11.50
Transcribed Image Text:A solid cube of side 2a and mass Mis sliding on a frictionless surface with uniform velocity v as shown in Figure Pl1.50a. It hits a small obstacle at the end of the table that causes the cube to tilt as shown in Figure Pl1.5Ob. Find the minimum value of the magnitude of v such that the cube tips over and falls off the table. Note: The cube undergoes an inelastic col- lision at the edge. - 2a - M a b. Figure P11.50
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