3) Find the mass of the disk M when it spins at a constant angular acceleration. BВACDi1.5 mF22. A uniform sphere (r= 30 cm) is rolling without slipping on a flat surface at aconstant 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 homogeneousdisk of radiusr= 20 cm. As the disc is spinning, a frictional force of 5.0 N isapplied at the rim. Find the mass of the disk M when it spins at a constantangular acceleration of 100 rad/s24. A uniform rod (l = 3.0 m and m .5 kg) rotates in a vertical plane about thehorizontal axis passing through the c.m. of the rod. Find the angular accelerationa of the rod if the applied torque is 2.0 Nm.15. A flywheel of moment inertia I = 70.3 kgm2 rotates with a constant angularspeed a- 45.3 rad/s. If the wheel stops in 10.0 s, what is the breaking torque?disk

The equation for the torque on the disk is given by

Answered: B В A C Di 1.5 m F2 2. A uniform sphere…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 16PQ: A disk rolls up an inclined plane as shown in Figure P12.16, reaches point A, stops there...

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3) Find the mass of the disk M when it spins at a constant angular acceleration.

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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