T072 : Q13. Assume that a disk starts from rest and rotates with an angular acceleration of 2.00 rad/s 2. The time it takes to rotate through the first.

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T072 : Q13. Assume that a disk starts from rest and rotates with an angular acceleration of 2.00 rad/s 2. The time it takes to rotate through the first three revolutions is: (Ans: 4.34 s) Q14. A uniform slab of dimensions: a = 60 cm, b = 80 cm, and c = 2.0 cm (see Fig. 6) has a mass of 6.0 kg. Its rotational inertia about an axis perpendicular to the larger face and passing through one corner of the slab is: (Ans: 2.0 kg.m 2 ) Q15. A thin rod of mass 0.50 kg and length 2.0 m is pivoted at one end and can rotate in a vertical plane about this horizontal frictionless pivot (axis). It is released from rest when the rod makes an angle of 45° above the horizontal (Fig. 7). Find the angular speed of the rod as it passes through the horizontal position. (Ans: 3.2 rad/s) Q#16: A wheel of radius R = 0.20 m is mounted on a fixed frictionless horizontal axis. The rotational inertia I of the wheel about this axis is 0.50 kg.m 2. A massless cord wrapped around the circumference of the wheel is attached to a m = 5.0 kg box (Fig. 8). The box is then released from rest. When the box has a speed of v = 2.0 m/s, the distance (h) through which the box has fallen is: Q17. A force is applied to an object that is pivoted about a fixed axis aligned along the z-axis. If the force is applied at the point of coordinates (4.0, 5.0, 0.0) m, what is the applied torque (in N.m) about the z axis? (Ans: ) T041: Q14: A uniform rod (M = 2.0 kg, L = 2.0 m) is held vertical about a pivot at point P, a distance L/4 from one end (see Fig 7). The rotational inertia of the rod about P is 1.17 kg*m**2. If it starts rotating from rest, what is the linear speed of the lowest point of the rod as it passes again through the vertical position (v)? (Ans: 8.7 m/s).

T071-Q15. A 5.00 kg block hangs from a cord which is wrapped around the rim of a frictionless pulley as shown in Fig. 4. What is the acceleration, a, of the block as it moves down? (The rotational inertia of the pulley is kg·m 2 and its radius is m.) (Ans: 1.96 m/s 2 )