A block of mass m , attached to a fixed position O on a smooth inclined wedge of mass M , oscillates with amplitude A and angular frequency ω . The wedge is located on a rough horizontal surface (Rema

Question

A block of mass m , attached to a fixed position O on a smooth inclined wedge of mass M , oscillates with amplitude A and angular frequency ω . The wedge is located on a rough horizontal surface (Remains stationary). If the angle of the wedge is 6 0 ∘ , then the force of friction acting on the wedge at any time t is given by (coefficient of static friction = μ )

TestHub · Accepted Answer

The block's displacement along the incline is $x = A sin ω t$ , so its acceleration along the incline is $ω^{2} A sin ω t$ .

Spring force: $T = m g sin 6 0^{\circ} + m ω^{2} A sin ω t$ ; normal force on the wedge: $N = m g cos 6 0^{\circ}$ .

Horizontal force balance on the stationary wedge: $f = T cos 6 0^{\circ} - N sin 6 0^{\circ} = \frac{1}{2} m ω^{2} A sin ω t$ - (B)

Physics - SHM Question with Solution | TestHub

Options:

Doubts & Discussion