Question

A rectangular block that is 0.6m wide, 0.6m long and 1.2m high stands on a horizontal loading plane of a car.

The block has uniform mass distribution and the total mass is 80kg.

The block is oriented with the sides parallel to the loading plane.

The static friction coefficient between the block and the loading plane is 0.6.
The car’s speed is 60 km/h, when the driver detects a warning signal and brakes sharply, but evenly.

a) What is the shortest stop time the car can have without the block slipping on the loading plane?

b) Draw a picture of the situation and indicate the direction of the relevant forces when the car brakes.

c) What is the shortest stop time the car can have without the block overturning on the loading plane?

Answer 1