1) A wheel with a weight of 396 N comes off a moving truck androlls without slipping along a highway. At the bottom of a hill itis rotating at an angular velocity of 27.5 rad/s . The radius ofthe wheel is 0.584 m and its moment of inertia about its rotationaxis is 0.800 MR2. Friction does work on the wheel as it rolls upthe hill to a stop, at a height of h above the bottom of the hill;this work has a magnitude of 3550 J .
Calculate h.
Use 9.81 m/s2 for the acceleration due to gravity.
2) A hollow spherical shell with mass 2.45 kg rolls withoutslipping down a slope that makes an angle of 38.0 ∘ with thehorizontal.
Part A
Find the magnitude of the acceleration acm of thecenter of mass of the spherical shell.
Take the free-fall acceleration to be g = 9.80 m/s2.
Part B
Find the magnitude of the frictional force acting on thespherical shell.
Take the free-fall acceleration to be g = 9.80 m/s2.
