Refer to the systems in Example 3.6 on p. 216 (particle separating from semicylinder) and...

Refer to the systems in Example 3.6 on p. 216 (particle separating from semicylinder) and Example 7.5 on p. 566 (sphere separating from semicylinder).

(a) Determine the speed of the particle and that of the sphere when each separates from the semicylinder.

(b) Compare their speeds of separation and explain the sources of any difference.

(c) Determine the value of ρ such that the sphere and the particle separate at the same speed.

Figure P7.35