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Question: A right circular cone with semi vertical angle 'a' rest on a rough inclined plane. As angle of incli...

A right circular cone with semi vertical angle 'a' rest on a rough inclined plane. As angle of inclination q increases, cone will slides before it topples over if coefficient of friction

A

m< tan a

B

m< 34\frac { 3 } { 4 } tan a

C

m< 4 tan a

D

m< 43\frac { 4 } { 3 } tan a

Answer

m< 4 tan a

Explanation

Solution

tan–1 m < q

̃ m < 4rh\frac { 4 \mathrm { r } } { \mathrm { h } }

\ m < 4 tan a