A frictionless simple pendulum, with a small but dense 4.4-kg mass at the end and a length of 75 cm, is released from rest at an angle of 50 with the vertical.
(a) To what height above its lowest point does the mass swing on the other side?
(b) What is the speed of the mass at the bottom of the swing?
Question 2
A 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round.
The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it? A) 0.788 rad/s
B) 0.261 rad/s
C) 6.28 rev/s
D) 2.00 rad/s
E) 3.14 rev/s