A circular disc with a straight groove accelerates horizontally at 25 m s⁻². A 1 kg block is inside the groove; μ = 2/5 and the groove direction satisfies cosθ = 4/5, sinθ = 3/5. Find the acceleration of the block relative to the disc.

Question

G1 Physics · Accepted Answer

Resolve the pseudo force m×25 opposite the disc acceleration into components along and perpendicular to the groove. The normal reaction sets the limiting friction μN; using cosθ=4/5 and sinθ=3/5, the remaining tangential acceleration relative to the disc is 10 m s⁻².