p1(6).png A solid cylinder of mass 2.50 kg and radius 50.0 cm rotates at 2750 rpm about its cylindrical axis.  What is the angular momentum of the cylinder?

p5(4).png A uniform ladder of mass 25.0 kg and length 10.0 m leans against a frictionless wall.  If the coefficient of static friction between the ladder and the ground is 0.350, determine the minimum θ at which the ladder starts to slip.

p8(3).png A sphere, a hoop, and a cylinder roll without slipping down an incline of height h = 50.0 cm.  Determine the speed of the hoop at the bottom of the incline.

A mass of 2.00 kg connected to a spring of spring constant 500.0 N/m undergoes simple harmonic motion with an amplitude of 30.0 cm. If the mass is at its amplitude x = A at time t = 0.00 s, what will be its position at time t = 0.150 s?

p13(2).png A force of 12.0 N is applied to rotate a pulley of mass 4.00 kg and radius 75.0 cm as shown.  Treat the pulley as a uniform disk and determine its angular acceleration.  Consider the pulley to be fricitonless.

p3(5).png A torque of 1.20 N m is applied to a thin rod of mass 2.50 kg and length 50.0 cm pivoted about one end and at rest.  How fast is the rod spinning after 4.25 s?

p6(5).png A masses m = 60.0 g and M = 130.0 g are fixed to the ends of a rigid rod of length L = 40.0 cm.  The rod is pivoted a distance x = 15.0 cm from the mass M as shown.  A torque of 0.120 Nm is applied to accelerate the system.  Consider rod to be massless and determine the angular acceleration of the system.

A mass of 2.00 kg connected to a spring of spring constant 500.0 N/m undergoes simple harmonic motion with an amplitude of 30.0 cm.  What is the force of the mass when it is at a position x = -20.0 cm from its equilibrium position?

A mass of 2.00 kg connected to a spring of spring constant 500.0 N/m undergoes simple harmonic motion with an amplitude of 30.0 cm. If the mass is at its amplitude x = A at time t = 0.00 s, what will be its acceleration at time t = 0.150 s?

p7(3).png Two masses m1 = 2.0 kg and m2 = 3.0 kg are connected to the ends of a uniform rod of mass mR = 4.0 kg and length 1.5 m pivoted about its center.  They system starts from rest and a torque of 25.0 N m is applied thorough a rotation angle of 1300.  What are the speeds of the masses after the torque is applied?