1. The fundamental dimensions of angular momentum are:
A.MLT–1
B.ML–2T–2
C.ML2T–1
D.ML2T–2
E.none of these


2. A 2.0-kg block travels around a 0.50-m radius circle with an angular velocity of 12 rad/s. Its angular momentum about the center of the circle is:
A.6.0 kg × m2/s
B.12 kg × m2/s
C.48 kg/m2 × s
D.72 kg × m2/s2
E.576 kg/m2 × s2


3. The angular momentum vector of the Earth, due to its daily rotation, is directed:
A.tangent to the equator toward the east
B.tangent to the equator toward the west
C.north
D.south
E.toward the sun


4.

Two objects are moving in the x,y plane as shown. The magnitude of their total angular momentum (about the origin O) is (in kg×m2/s):




A.zero
B.6 kg×m2/s
C.12 kg×m2/s
D.30 kg×m2/s
E.78 kg×m2/s


5. A uniform disk has radius R and mass M. When it is spinning with angular velocity w about an axis through its center and perpendicular to its face its angular momentum is Iw . When it is spinning with the same angle velocity about a parallel axis a distance h away its angular momentum is:
A.Iw
B.(I + Mh2)w
C.(I – Mh2)w
D.(I + MR2)w
E.(I – MR2)w


6. The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR2, where M is its mass and R is its radius. If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:
A.MR2
B.(2/5)MR2
C.(3/5)MR2
D.(5/2)MR2
E.(7/5)MR2


7. A force with a given magnitude is to be applied to a wheel. The torque can be maximized by:
A.applying the force near the axle, radially outward from the axle
B.applying the force near the rim, radially outward from the axle
C.applying the force near the axle, parallel to a tangent to the wheel
D.applying the force at the rim, tangent to the rim
E.applying the force at the rim, at 45° to the tangent


8.

A meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark. A horizontal force ¢1 is applied perpendicularly to the end of the stick at 0 cm, as shown. A second horizontal force ¢2 (not shown) is applied at the 100-cm end of the stick. If the stick does not rotate:




A.ç¢2ç > ç¢1ç for all orientations of ¢2
B.ç¢2ç < ç¢1ç for all orientations of ¢2
C.ç¢2ç = ç¢1ç for all orientations of ¢2
D.ç¢2ç > ç¢1ç for some orientations of ¢2 and ç¢2ç < ç¢1ç for others
E.ç¢2ç > ç¢1ç for some orientations of ¢2 and ç¢2ç = ç¢1ç for others


9. A cylinder is 0.10 m in radius and 0.20 in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 0.020 kg × m2. A string is wound around the cylinder and pulled with a force of 1.0 N. The angular acceleration of the cylinder is:
A.2.5 rad/s2
B.5.0 rad/s2
C.10 rad/s2
D.15 rad/s2
E.20 rad/s2


10. A disk has a rotational inertia of 6.0 kg × m2 and a constant angular acceleration of 2.0 rad/s2. If it starts from rest the work done during the first 5.0 s by the net torque acting on it is:
A.0
B.30 J
C.60 J
D.300 J
E.600 J



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