Step 1: Determine the net force acting on the bin
Net force = 230 N (father's force to the left) - 20 N (child's force to the right)
Net force = 210 N to the left
Step 2: Determine the frictional force acting on the bin when it just starts to move
Frictional force = coefficient of static friction x Normal force
Since the bin is just about to move, the frictional force is equal to the maximum static frictional force
Frictional force = 210 N (net force)
Normal force = mass x gravity
Normal force = 70 kg x 9.8 m/s^2
Normal force = 686 N
Step 3: Calculate the coefficient of static friction
210 N = coefficient of static friction x 686 N
coefficient of static friction = 210 N / 686 N
coefficient of static friction ≈ 0.306
Therefore, the coefficient of static friction between the bin and the surface is approximately 0.306.
Two people pull on a large bin with a mass of 70 kg. The child pulls to the right and the father pulls to the left.
Find the coefficient of static friction if the child pulls with 20 N [right] and the father pulls with 230 N [left], and the bin just starts to move.
1 answer
1 answer