Question

A horizontal uniform rod of mass W has its left end hinged to the fixed incline plane, while its right end rests on the top of a uniform cylinder of mass 'm' which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane is sufficient to keep the cylinder at rest.

• A. The magnitude of normal reaction exerted by the rod on the cylinder is $\frac{mg}{2}$.
• B. The ratio of magnitude of factional force on the cylinder due to the rod and the magnitude of friction*! force on the cylinder due to the inclined plane is 1 : 1
• C. The magnitude of normal reaction exerted by the inclined plane on the cylinder is $\frac{3mg}{2}$
• D. The magnitude of normal reaction exerted by the inclined plane on the cylinder is $\frac{5mg}{2}$
  

Answer 1

Answer: (A), (B), (C)

The correct options are
A The magnitude of normal reaction exerted by the rod on the cylinder is $\frac{mg}{2}$.
B The ratio of magnitude of factional force on the cylinder due to the rod and the magnitude of friction*! force on the cylinder due to the inclined plane is 1 : 1
C The magnitude of normal reaction exerted by the inclined plane on the cylinder is $\frac{3mg}{2}$