Exam 11: Angular Momentum

A particle of mass m = 0.10 kg and speed v₀ = 5.0 m/s collides and sticks to the end of a uniform solid cylinder of mass M = 1.0 kg and radius R = 20 cm.If the cylinder is initially at rest and is pivoted about a frictionless axle through its center,what is the final angular velocity (in rad/s)of the system after the collision?

A particle whose mass is 2.0 kg moves in the xy plane with a constant speed of 3.0 m/s along the direction )What is its angular momentum (in kg⋅m²/s)relative to the point (0,5.0)meters?

Stars originate as large bodies of slowly rotating gas.Because of gravity,these clumps of gas slowly decrease in size.The angular velocity of a star increases as it shrinks because of

A solid sphere (radius R,mass M)rolls without slipping down an incline as shown in the figure.The linear acceleration of its center of mass is

A coin with a diameter 3.00 cm rolls up a 30.0° inclined plane.The coin starts out with an initial angular speed of 60.0 rad/s and rolls in a straight line without slipping.If the moment of inertia of the coin is MR²,how far will the coin roll up the inclined plane?

Halley's comet moves about the sun in an elliptical orbit with its closest approach to the sun being 0.59 A.U.and its furthest distance being 35 A.U.[1 Astronomical Unit (A.U. )is the Earth-sun distance.] If the comet's speed at closest approach is 54 km/s,what is its speed when it is farthest from the sun?