Answer to Question #268481 in Mechanics | Relativity for Ase

Question

A 2.5 kg block is on a 53 degree inclined plane for which μk = 0.25 and μs = 0.5. Find its acceleration and its orientation knowing that :

a) it is initially at rest.

b) it moves up the slope.

c) it moves down the slope.

Answer 1

a)

$$a=9.8(\sin 53 -0.5\cos 53)=4.9\frac{m}{s^2}$$

b)

$$a=9.8(\sin 53 +0.25\cos 53)=9.3\frac{m}{s^2}$$

c)

$$a=9.8(\sin 53 -0.25\cos 53)=6.4\frac{m}{s^2}$$