First slide

Inertial and uniformly accelerated frame of reference

Question

A wedge of mass m is pushed with a speed v₀ on a rough horizontal plane. The angle of friction between the wedge and horizontal plane is $ϕ$ . The angle of inclination $θ$ of the pendulum is

Moderate

A

$ϕ$
B

$90^{\circ} - ϕ$
C

$\tan^{- 1} (\frac{m}{M} \tan ϕ)$
D

None of these

Solution

Since frictional force acts on the block, its deceleration is $μ g$ . So in the frame of wedge, a pseudo force $μ m g$ acts on the block and it is inclined at angle $θ = ϕ$ with vertical.

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