A toy chest and its contents have a combined weight of W = 210 N. The coefficient of static friction between toy chest and floor μs is 0.440. The child in the figure attempts to move the chest across the floor by pulling on an attached rope. (a) If θ is 45.0°, what is the magnitude of the force that the child must exert on the rope to put the chest on the verge of moving? Determine (b) the value of θ for which F is a minimum and (c) that minimum magnitude.

Question

A toy chest and its contents have a combined weight of W = 210 N. The coefficient of static friction between toy chest and floor μs is 0.440. The child in the figure attempts to move the chest across the floor by pulling on an attached rope. (a) If θ is 45.0°, what is the magnitude of the force   that the child must exert on the rope to put the chest on the verge of moving? Determine (b) the value of θ for which F is a minimum and (c) that minimum magnitude.