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p1(4).png A simple pendulum consists of a point mass  oscillating on the end of a massless string of fixed length L under the influence of gravity.  Determine the angular acceleration of the simple pendulum shown for L = 1.50 m when the angle q = 35.00.

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.

p3(1).png A 35.0 kg uniform plank of length L = 10.0 m is pivoted about one end and held level by a cable as shown.  A 75.0 kg worker stands 2.50 m from the pivot inspecting the plank.  What is the tension in the cable if it makes an angle q = 65.00 with respect to plank?

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 total energy stored in the system when the mass is at a position x = -20.0 cm from its equilibrium position?

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.

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?

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 speed of the mass when it is at a position x = -20.0 cm from its equilibrium position?

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?

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 period of oscillation?

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 angular frequency of oscillation?