A solid cylinder of mass 8.9 kg and radius
32 cm is yoked to a spring as shown. To be precise, the axle of the cylinder is attached to a
horizontal spring of force constant 1335 N/m.
The cylinder rolls back and forth on a horizontal base without slipping. For simplicity,
assume that the spring, the axle and the yoke
which connects them have negligible masses
compared to the cylinder itself. What is the angular frequency of the cylinder rolling back and forth around the equlibrium position?
Answer in units of s
−1

Question

A solid cylinder of mass 8.9 kg and radius
32 cm is yoked to a spring as shown. To be precise, the axle of the cylinder is attached to a
horizontal spring of force constant 1335 N/m.
The cylinder rolls back and forth on a horizontal base without slipping. For simplicity,
assume that the spring, the axle and the yoke
which connects them have negligible masses
compared to the cylinder itself. What is the angular frequency of the cylinder rolling back and forth around the equlibrium position?
Answer in units of s
−1