9 rad/s 2 7 rad/s 2 13 rad/s 2 14 rad/s 2 16 rad/s 2

1. At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 1.0 rad/s. Three seconds later it has turned through 7.0 complete revolutions. What is the angular acceleration of this wheel? Select the correct answer. • 9 rad/s2 • 7 rad/s2 • 13 rad/s2 • 14 rad/s2 • 16 rad/s2

2. Three identical particles, each with a mass of 60g are positioned at the vertices of an equilateral triangle with sides of length 90cm. The particles are connected by rods of negligible mass. What is the moment of inertia of this rigid body about an axis that is parallel to one side of the triangle and passes through the respective midpoints of the other two sides? Select the correct answer. • 0.027 kg·m2 • 0.025 kg·m2 • 0.031 kg·m2 • 0.019 kg·m2 • 0.033 kg·m2

3. A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2. The wheel has a diameter of 40 cm and starts from rest at t = 0. What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.7m/s2 ? Select the correct answer. • 55 cm/s • 42 cm/s • 70 cm/s • 72 cm/s • 35 cm/s

4. Particles (mass of each = 0.20kg) are placed at the 60-cm and 90-cm marks of a meter stick of negligible mass. This rigid body is free to rotate about a frictionless pivot at the 0-cm end. The body is released from rest in the horizontal position. What is the initial angular acceleration of the body opposite the pivot? (g = 9.8 m/s2) Select the correct answer. • 11 m/s2 • 14 m/s2 • 1.1 m/s2 • 4.4 m/s2 • 2.2 m/s2

5. Four identical particles (mass of each = 0.35kg) are placed at the vertices of a rectangle (2.0m x 3.0m) and held in those positions by four light rods which form the sides of the rectangle. What is the moment of inertia of this rigid body about an axis that passes through the center of mass of the body and is parallel to the shorter sides of the rectangle? Select the correct answer. • 3.2 kg·m2 • 3.4 kg·m2 • 2.8 kg·m2 • 2.4 kg·m2 • 3.8 kg·m2

6. A wheel (radius = 0.15m)start from rest rotates with a constant angular acceleration of 1.9 rad/s2 starts from the rest at t = 0. At the instant when its angular velocity is equal to 1.4 rad/s. what is the magnitude of the total linear acceleration of a point on the rim of the wheel? Select the correct answer. • 0.41 m/s2 • 0.61 m/s2 • 0.45 m/s2 • 0.35 m/s2 • 0.33 m/s2

7. The rigid body shown is rotated about an axis perpendicular to the plane of the figure and through the point P. If M = 0.5kg, a = 30cm, and b = 50cm how much work is required to take the body from rest to an angular speed of 6.0 rad/s? Neglect the mass of the connecting rods and treat the masses as particles. (g = 9.8 m/s2) Select the correct answer. • 4.7 J • 4.3 J • 5.5 J • 4.1 J • 4.5 J

8. A uniform rod is 1.7m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest at the horizontal position. What is the angular acceleration of the rod at the instant the rod makes an angle of 30° with the horizontal? (g= 9.8 m/s2) Select the correct answer. • 7.5 rad/s2 • 9.5 rad/s2 • 7.8 rad/s2 • 6.3 rad/s2 • 9.9 rad/s2