Determine the moment of inertia for a 1.8 m long uniform rod of mass 250 g pivoted about the center.

A 26.0 cm radius bicycle tire rolls without slipping across a surface with a speed of 12.0 m/s.  What is the angular speed of the tire?

p14(2).png A mass m = 1.50 kg is connected to a string wrapped around a pulley of mass 4.00 kg and radius 75.0 cm as shown.  Treat the pulley as a uniform disk and determine the acceleration of the falling mass..  Consider the pulley to be frictionless and the string to be massless.

p2(4).png A mass m = 60.0 g is fixed to the end of a rigid rod of length L = 40.0 cm pivoted about the other end.  A Force F = 1.50 N is applied to accelerate the system in the plane of rotation at an angle q = 20.00 with respect to the rod as shwon.  Consider rod to be massless and determine the angular acceleration of the system.

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.

p4(2).png A uniform meter stick, pivoted about one end, is held vertically and released.  What is its angular speed when it is horizontal?

p2(3).png A meter pivoted about one end and hung vertically is used as a pendulum as shown.  Determine the angular acceleration of the meter stick when the angle q = 35.00.

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?

p5(1)(1).png For the Atwood’s machine above the masses start from rest a distance d = 50.0 cm apart as shown.  m1 = 60.0 g,  m2 = 20.0 g,  M = 80.0 g, and R = 25.0 cm.  Determine the speed of m1 and m2 when they pass each other.  Treat the pulley as a uniform, frictionless, disk and the connecting string as massless.

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?