A car moving at a speed of 36 km/hr is taking a turn on a circular road of radius 50m. A small wooden plate is kept on the seat with its plane perpendicular to the radius of the circular road in figure. A small block of mass 100g is kept on the seat which rests against the plate. The friction coefficient between the block and the plate is µ = 0.58. (a) Find the normal contact force exerted by the plate on the block. (b) The plate is slowly turned so that the angle between the normal to the plate and the radius of the road slowly increases. Find the angle at which the block will just start sliding on the plate.

Question

G1 Physics · Accepted Answer

Car speed is 10 m/s and radius 50 m, so centripetal acceleration is 2 m/s². For m=0.1 kg, the plate initially provides N=ma(c)=0.2 N. As the plate turns, resolve the required horizontal force into normal and friction components; at f=µN with µ=0.58, the limiting angle is 30°.