A majorette takes two batons and fastens them together in the middle at right angles to make an x shape. Each baton was 0.70 m long and each ball on the end is 0.10 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis through the center perpendicular to both rods?
a. 7.0E3 kgm2 b. 2.5E2 kgm2
c. 1.2E2 kgm2 d. 4.9E2 kgm2
e. 7.0E2 kgm2
[Ques. 2] A majorette takes two batons and fastens them together in the middle at right angles to make an x shape. Each baton was 0.70 m long and each ball on the end is 0.10 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis formed by one of the batons?
a. 2.5E2 kgm2 b. 4.9E2 kgm2
c. 7.0E2 kgm2 d. 1.4E1 kgm2
e. 7.4E2 kgm2
[Ques. 3] A baseball pitcher loosens up his pitching arm. He tosses a 0.20-kg ball using only the rotation of his forearm, 0.28 m in length, to accelerate the ball. What is the moment of inertia of the ball alone as it moves in a circular arc with a radius of 0.28 m?
a. 3.1E3 kgm2 b. 1.6E2 kgm2
c. 3.1E2 kgm2 d. 1.1E2 kgm2
e. 5.6E2 kgm2
[Ques. 4] A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.8 102 kgm2, and a radius of 0.100 m. If it rolls down the lane without slipping at a linear speed of 4.30 m/s, what is its angular speed?
a. 70.0 rad/s b. 43.0 rad/s
c. 30.1 rad/s d. 0.430 rad/s
e. 0.700 rad/s
[Ques. 5] A 2.00-kg mass is placed at (3.00, 4.00) m, and a 3.50-kg mass is placed at (3.00, 4.00) m. What is the moment of inertia of this system of masses about the z axis?
a. 138 kgm2 b. 16.5 kgm2
c. 88.0 kgm2 d. 49.5 kgm2
e. 22.0 kgm2
[Ques. 6] A 3.00-kg mass is placed at (2.00, 3.00) m, and a 4.50-kg mass is placed at (2.00, 3.00) m. What is the moment of inertia of this system of masses about the y axis?
a. 97.5 kgm2 b. 15.0 kgm2
c. 67.5 kgm2 d. 30.0 kgm2
e. 22.5 kgm2
[Ques. 7] A 5.0-kg mass is placed at (3.0, 4.0) m, and a 6.0-kg mass is placed at (3.0, 4.0) m. What is the moment of inertia of this system of masses about the x axis?
a. 280 kgm2 b. 33 kgm2
c. 176 kgm2 d. 99 kgm2
e. 44 kgm2
[Ques. 8] An 8.4-kg mass is placed at (3.0, 4.0) m. Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero?
a. (3.0, 4.0) m b. (6.0, 8.0) m
c. (1.5, 2.0) m d. (1.5, 2.0) m
e. There is no position giving this result.
[Ques. 9] A hoop, solid sphere, and solid cylinder each have the same mass and same radius. When rolling down the same incline, which has the greatest torque from gravity on it?
a. the hoop b. the sphere
c. the cylinder d. They all have the same torque.
[Ques. 10] A uniform, horizontal beam of length 8.0 m and weight 42.4 N is attached at one end to a wall by a pin connection (so that it may rotate). A cable attached to the wall above the pin supports the opposite end. The cable makes an angle of 60.0 with the horizontal. What is the tension in the cable needed to maintain the beam in equilibrium?
a. 24.5 N b. 49.0 N
c. 294 N d. 4.59 N
e. 171 N
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