B В A C Di 1.5 m F2 2. A uniform sphere (r= 30 cm) is rolling without slipping on a flat surface at a constant velocity (i.e., vcm is constant). a. Draw the force diagram for the sphere. b. Which force(s) are responsible for the rolling motion? c. Write the equations of motion for the sphere. 3. A constant tangential force F = 100 N is applied to the rim of a homogeneous disk of radiusr= 20 cm. As the disc is spinning, a frictional force of 5.0 N is applied at the rim. Find the mass of the disk M when it spins at a constant angular acceleration of 100 rad/s2 4. A uniform rod (l = 3.0 m and m .5 kg) rotates in a vertical plane about the horizontal axis passing through the c.m. of the rod. Find the angular acceleration a of the rod if the applied torque is 2.0 Nm. 1 5. A flywheel of moment inertia I = 70.3 kgm2 rotates with a constant angular speed a- 45.3 rad/s. If the wheel stops in 10.0 s, what is the breaking torque? disk
B В A C Di 1.5 m F2 2. A uniform sphere (r= 30 cm) is rolling without slipping on a flat surface at a constant velocity (i.e., vcm is constant). a. Draw the force diagram for the sphere. b. Which force(s) are responsible for the rolling motion? c. Write the equations of motion for the sphere. 3. A constant tangential force F = 100 N is applied to the rim of a homogeneous disk of radiusr= 20 cm. As the disc is spinning, a frictional force of 5.0 N is applied at the rim. Find the mass of the disk M when it spins at a constant angular acceleration of 100 rad/s2 4. A uniform rod (l = 3.0 m and m .5 kg) rotates in a vertical plane about the horizontal axis passing through the c.m. of the rod. Find the angular acceleration a of the rod if the applied torque is 2.0 Nm. 1 5. A flywheel of moment inertia I = 70.3 kgm2 rotates with a constant angular speed a- 45.3 rad/s. If the wheel stops in 10.0 s, what is the breaking torque? disk
B В A C Di 1.5 m F2 2. A uniform sphere (r= 30 cm) is rolling without slipping on a flat surface at a constant velocity (i.e., vcm is constant). a. Draw the force diagram for the sphere. b. Which force(s) are responsible for the rolling motion? c. Write the equations of motion for the sphere. 3. A constant tangential force F = 100 N is applied to the rim of a homogeneous disk of radiusr= 20 cm. As the disc is spinning, a frictional force of 5.0 N is applied at the rim. Find the mass of the disk M when it spins at a constant angular acceleration of 100 rad/s2 4. A uniform rod (l = 3.0 m and m .5 kg) rotates in a vertical plane about the horizontal axis passing through the c.m. of the rod. Find the angular acceleration a of the rod if the applied torque is 2.0 Nm. 1 5. A flywheel of moment inertia I = 70.3 kgm2 rotates with a constant angular speed a- 45.3 rad/s. If the wheel stops in 10.0 s, what is the breaking torque? disk
3) Find the mass of the disk M when it spins at a constant angular acceleration.
Transcribed Image Text:B
В
A
C
Di
1.5 m
F2
2. A uniform sphere (r= 30 cm) is rolling without slipping on a flat surface at a
constant velocity (i.e., vcm is constant).
a. Draw the force diagram for the sphere.
b. Which force(s) are responsible for the rolling motion?
c. Write the equations of motion for the sphere.
3. A constant tangential force F = 100 N is applied to the rim of a homogeneous
disk of radiusr= 20 cm. As the disc is spinning, a frictional force of 5.0 N is
applied at the rim. Find the mass of the disk M when it spins at a constant
angular acceleration of 100 rad/s2
4. A uniform rod (l = 3.0 m and m .5 kg) rotates in a vertical plane about the
horizontal axis passing through the c.m. of the rod. Find the angular acceleration
a of the rod if the applied torque is 2.0 Nm.
1
5. A flywheel of moment inertia I = 70.3 kgm2 rotates with a constant angular
speed a- 45.3 rad/s. If the wheel stops in 10.0 s, what is the breaking torque?
disk
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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