JEE Advanced2014PhysicsLaws of MotionActual
A block of mass m 1 = 1 k g another mass m 2 = 2 k g , are placed together (see figure) on an inclined plane with angle of inclination θ . Various values of θ are given in List I. The coefficient of friction between the block m 1 and the plane is always zero. The coefficient of static and dynamic friction between the block m 2 and the plane are equal to μ = 0.3 . In List II expressions for the friction on the block m
Options
- Aa-q;b-q;c-r;d-r;
- Ba-q;b-s;c-p;d-r;
- Ca-q;b-p;c-s;d-r;
- Da-r;b-p;c-s;d-q;
Correct answer
A. a-q;b-q;c-r;d-r;
Step-by-step solution
Condition for not sliding, f m a x > m 1 + m 2 g sin θ μ N > m 1 + m 2 g sin θ 0.3 m 2 g cos θ ≥ 30 sin θ 6 ≥ 30 tan θ 1 5 ≥ tan θ 0.2 ≥ tan θ ∴ for P, Q f = m 1 + m 2 g sin θ For R and S F = f max = μ m 2 g sin θ