Question

sketch a 3.22 lb. semi-circular disc of radius 6 ins, that lies in the vertical plane, with its diameter along the y-axis and its center attached to a hinge at the origin O. Determine

- the location of the center of mass, G;
- the area moment of inertia about O;
- the mass moment of inertia about O;
- the angular acceleration of the disc;
- the components of the reaction at O.

Answer #1

A wheel 1.55 m in
diameter lies in a vertical plane and rotates about its central
axis with a constant angular acceleration of 3.65
rad/s2. The wheel starts at rest at t
= 0, and the radius vector of a certain
point P on the rim makes
an angle of 57.3

sketch a vertical stiff 1.6m long rod of negligible
mass, that is suspended from a hinged support at
point O, and supports two equal 1.5 kg masses, one at its midpoint
C, and the other at its bottom end B.
Locate the system’s center of mass, G.
Determine the mass moment of inertia of the system about point
O.
Determine the period of small free vibrations.

A wheel 1.65 m in diameter lies in a vertical plane and rotates
about its central axis with a constant angular acceleration of 4.35
rad/s2. The wheel starts at rest at t = 0, and
the radius vector of a certain point P on the rim makes an
angle of 57.3° with the horizontal at this time. At t =
2.00 s, find the following.
(a) the angular speed of the wheel
(b) the tangential speed of the point P...

A wheel 2.20 m in diameter lies in a vertical plane and rotates
about its central axis with a constant angular acceleration of 4.10
rad/s2. The wheel starts at rest at t = 0, and
the radius vector of a certain point P on the rim makes an
angle of 57.3° with the horizontal at this time. At t =
2.00 s, find the following.
(a) the angular speed of the wheel
(b) the tangential speed of the point P...

A wheel 1.50 m in diameter lies in a vertical plane and rotates
about its central axis with a constant angular acceleration of 3.95
rad/s2. The wheel starts at rest at t = 0, and
the radius vector of a certain point P on the rim makes an
angle of 57.3° with the horizontal at this time. At t =
2.00 s, find the following.
(a) the angular speed of the wheel
rad/s
(b) the tangential speed of the point...

MOMENT OF INERTIA LAB Apparatus Only (P3) With Masses (P4) With
Block (P5) Setup You have a T-shaped apparatus that can spin about
a vertical axis. One end of a light string is wrapped around the
vertical shaft of the apparatus. The other end passes over a pulley
and has a known mass hung from it to establish tension in the
string. By measuring the acceleration of the hanging mass, the
rotational inertia of the apparatus can be determined.
Specifically,...

12. Through what angle in degrees does a 31 rpm record turn in
0.27 s
13. Starting from rest, the same torque is applied to a solid
sphere and a hollow sphere. Both spheres have the same size and
mass, and both are rotating about their centers. After some time
has elapsed, which sphere will be rotating faster?
answer choices:
a. hollow sphere
b. They will be rotating equally fast
c. solid sphere
14. In movies, it often happens that...

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