A block of mass m is initially at rest at the top of a ramp, inclined at angle θ to the horizontal. The coefficient of friction between the block and the ramp is µ. The ramp is now pushed at acceleration a to the right. For what range of value of a will the block start slipping down the ramp?
f ≤ µN
The Attempt at a Solution
I think to tackle this question i need to find out the value of a for which the block will remain stationary. Help me check if my working is correct.
If the block doesn't slip, then its acceleration would also be a. The component of acceleration parallel to the plane would be acosθ, the component normal to the plane would be asinθ.
From here I formed the equation:
f - mgsinθ = macosθ
f ≤ mgcosθ + masinθ
I am not sure if this is the correct reasoning.