A small block is released on the top of a wedge that is placed on a horizontal floor as shown in the figure. Mass of wedge is M and angle of inclination of its start face is 0. Friction between wedge and floor is sufficient to prevent sliding and coefficient of friction between the wedge and the block is u. The mass of the block be so that the wedge will not topple? m (A) 0 ≤ m <∞ if μ ≥ tano M (C) m< 3sin 0(sin 0-ucos 0) if μ< tane M (B) 0 ≤ m

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.16P: A particle is projected with an initial velocity 0 up a slope that makes an angle with the...
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A small block is released on the top of a wedge that is placed on a horizontal floor as shown in
the figure. Mass of wedge is M and angle of inclination of its start face is 0. Friction between
wedge and floor is sufficient to prevent sliding and coefficient of friction between the wedge and
the block is µ. The mass of the block be so that the wedge will not topple?
m
(A) 0 ≤ m <∞ if μ ≥ tano
M
(C) m<
3 sin 0(sin 0-u cos 0)
if µ< tane
M
(B) 0 ≤ m <∞ if µ<tano
M
(D) m<
3(sin 0+μ cos 0)
if μ <tane
Transcribed Image Text:A small block is released on the top of a wedge that is placed on a horizontal floor as shown in the figure. Mass of wedge is M and angle of inclination of its start face is 0. Friction between wedge and floor is sufficient to prevent sliding and coefficient of friction between the wedge and the block is µ. The mass of the block be so that the wedge will not topple? m (A) 0 ≤ m <∞ if μ ≥ tano M (C) m< 3 sin 0(sin 0-u cos 0) if µ< tane M (B) 0 ≤ m <∞ if µ<tano M (D) m< 3(sin 0+μ cos 0) if μ <tane
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