A uniform rod is 3.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest at an angle of 27 above the horizontal. What is the angular speed of the rod as it passes through the horizontal position?
a. 3.0 rad/s
b. 2.8 rad/s
c. 2.1 rad/s
d. 2.5 rad/s
e. 3.4 rad/s
[Ques. 2] A uniform rod (mass = 1.5 kg) is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a horizontal position. What is the angular speed of the rod when the rod makes an angle of 30 with the horizontal? (The rotational inertia of the rod about the pin is 2.0 kg/m2).
a. 2.2 rad/s
b. 3.6 rad/s
c. 2.7 rad/s
d. 3.1 rad/s
e. 1.8 rad/s
[Ques. 3] Identical particles are placed at the 50-cm and 80-cm marks on a meter stick of negligible mass. This rigid body is then mounted so as to rotate freely about a pivot at the 0-cm mark on the meter stick. If this body is released from rest in a horizontal position, what is the angular speed of the meter stick as it swings through its lowest position?
a. 4.2 rad/s
b. 5.4 rad/s
c. 4.6 rad/s
d. 5.0 rad/s
e. 1.7 rad/s
[Ques. 4] A uniform rod (length = 2.0 m) is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through the rod at a point 0.50 m from one end of the rod. If the rod is released from rest in a horizontal position, what is the angular speed of the rod as it rotates through its lowest position?
a. 3.5 rad/s
b. 3.8 rad/s
c. 4.1 rad/s
d. 2.0 rad/s
e. 5.6 rad/s
[Ques. 5] A uniform meter stick is pivoted to rotate about a horizontal axis through the 25-cm mark on the stick. The stick is released from rest in a horizontal position. The rotational inertia of a uniform rod about an axis perpendicular to the rod and through the center of mass of the rod is given by (1/12)ML2 . Determine the magnitude of the initial angular acceleration of the stick.
a. 17 rad/s2
b. 13 rad/s2
c. 15 rad/s2
d. 19 rad/s2
e. 23 rad/s2
[Ques. 6] A uniform rod is 2.0 m 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 70 with the horizontal?
a. 3.7 rad/s2
b. 1.3 rad/s2
c. 2.5 rad/s2
d. 4.9 rad/s2
e. 1.9 rad/s2
[Ques. 7] A uniform rod is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest at an angle of 30 above the horizontal. What is the angular acceleration of the rod at the instant it is released?
a. 4.7 rad/s2
b. 6.9 rad/s2
c. 6.4 rad/s2
d. 5.6 rad/s2
e. 4.2 rad/s2
[Ques. 8] Particles (mass of each = 0.40 kg) are placed at the 60-cm and 100-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 magnitude of the initial linear acceleration of the end of the body opposite the pivot?
a. 15 m/s2
b. 9.8 m/s2
c. 5.8 m/s2
d. 12 m/s2
e. 4.7 m/s2
[Ques. 9] Particles (mass of each = 0.20 kg) are placed at the 40-cm and 100-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?
a. 12 rad/s2
b. 5.9 rad/s2
c. 8.4 rad/s2
d. 5.4 rad/s2
e. 17 rad/s2
[Ques. 10] A uniform rod (mass = 2.0 kg, length = 0.60 m) is free to rotate about a frictionless pivot at one end. The rod is released from rest in the horizontal position. What is the magnitude of the angular acceleration of the rod at the instant it is 60 below the horizontal?
a. 15 rad/s2
b. 12 rad/s2
c. 18 rad/s2
d. 29 rad/s2
e. 23 rad/s2
Quick Reply
