Question2) A 68 kg barrel of monkeys is dragged across a floor by pulling on a rope attached to the box and inclined $15^{\circ}$ above the horizontal. a) If the coefficient of static friction is 0.50 , what minimum force is required from the rope to start the barrel moving? b) If $\mu_{k}=0.35$, what is the magnitude of the initial acceleration of the barrel?

Studdy Solution
Determine the net force and calculate the initial acceleration.
The net force ($F_{\text{net}}$) acting on the barrel is the horizontal component of the pulling force minus the force of kinetic friction:
$$F_{\text{net}} = F \cos(15^\circ) - f_k$$
Using Newton's second law, calculate the initial acceleration ($a$):
$$F_{\text{net}} = ma$$ $$a = \frac{F_{\text{net}}}{m}$$
Solution: a) The minimum force required from the rope to start the barrel moving is calculated using the above steps. b) The magnitude of the initial acceleration of the barrel is calculated using the above steps.