T2 G 11 SBQ 2

A torque is applied to a wheel of moment of inertia 38 kg.m², which causes an an angular acceleration of 1.5 rad/s². What is the magnitude of the net torque on the axle?

• 25 Nm

• 37 Nm

• 39 Nm

• 57

A torque of 12 Nm is applied to a solid, uniform disk of radius 0.50 m, causing the disk to accelerate at 5.7 rad/s². What is the mass of the disk?

• 4.3 kg

• 8.5 kg

• 13 kg

• 17 kg

A uniform solid cylinder [𝐼 = 1/2 mr²] with a radius

of 0.25 m and a mass of 6.0 kg is rotating about its center with an angular speed of 3.7 rad/s. What is its kinetic energy?

• 0.15 J

• 0.34 J

• 1.3 J

• 2.6 J

A uniform solid cylinder of mass M = 5.00 kg is rolling without slipping along a horizontal surface. The velocity of its center of mass is 30.0 m/s. Calculate its total Kinetic energy.

• 2250 J

• 3375 J

• 4375 J

• 5035 J

A thin, uniform rod of length 𝐿= 1m and mass 𝑀= 2 kg is pivoted about one end, as shown in the figure below. The rod is released from rest in a horizontal position, and allowed to swing downward without friction or air resistance. When the rod is vertical, what is it's angular velocity?

• 2.72 rad/s

• 5.44 rad/s

• 14.7 rad/s

• 29.4 rad/s

A thin, uniform rod of length 𝐿= 1m and mass 𝑀= 2 kg is pivoted about one end, as shown in the figure below. The rod is released from rest in a horizontal position, and allowed to swing downward without friction or air resistance. When the rod is vertical, what is it's tangential velocity?

• 2.72 m/s

• 5.44 m/s

• 14.7 m/s

• 29.4 m/s

A solid uniform sphere of radius 2.0 m starts from rest and rolls without slipping down an inclined plane of vertical height 8.0 m. What is the angular speed of the sphere at the bottom of the inclined plane?

• 2.65 rad/s

• 5.3 rad/s

• 10.6 rad/s

• 78.4 rad/s

When we apply the energy conservation principle to a cylinder rolling down an incline without sliding, we exclude the work done by friction because _____.

• the linear velocity of the point of contact relative to the inclined surface is zero

• the coefficient of kinetic friction is zero

• the angular velocity of the center of mass about the point of contact is zero

• there is no friction present

A solid cylinder, a hollow cylinder, a solid sphere, and a hollow sphere are rolling without slipping. All four objects have the same mass and radius and are traveling with the same linear speed. Which one of the following statements is true?

• The hollow cylinder has the highest kinetic energy

• The solid cylinder has the highest kinetic energy

• The solid sphere has the highest kinetic energy

• The hollow sphere has the highest kinetic energy

A ring of radius R m and mass M is rotating about its center with an angular velocity ω . the ratio of It's rotational kinetic energy to translational KE (KE_R/KE_T) is _______ .

" HINT: I _Ring = mR² "

• 0.5

• 1.0

• 2.0

• 4.0