A box (550 kg) sits inside the trailer of a semi truck at a stoplight. When the light turns green, the driver accelerates at a constant rate. The coefficient of static friction µs = 0.7 between the box and the floor of the trailer. Assume g = 10 m/s2.
a) When the truck is accelerating to the left, what is the direction of the friction force on box 1 (right, left, or none)?
b) What is the maximum magnitude of the static friction force holding box 1 in place?
c) What is the maximum magnitude of acceleration the truck can have such that box 1 does not slip?