2. A rigid sphere with mass 20 Kg and radius 0.6 m is free to rotate...
2. A rigid sphere with mass 20 Kg and radius 0.6 m is free to rotate around a fixed axis passing through its center (I = 2/5 mR2). The sphere is initially at rest. A force of 4 N is applied at the edge (or equator) of the sphere, tangent to the sphere and perpendicular to the sphere radius, generating a constant torque for 3 s.
(i) Calculate the magnitude of the angular acceleration of the sphere.
(ii) Calculate the rotation (spanned) angle of the sphere.
(iii) Calculate the (rotational) kinetic energy of the sphere at t = 3 s.
(iv) Calculate the angular momentum of the sphere at t = 3 s.
(v) Calculate the centripetal acceleration of the sphere, at t = 3 s, of a point located 0.2 from the rotation axis.
Homework Answers
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2. A rigid sphere with mass 20 Kg and radius 0.6 m is free to
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Given
• Hollow hoop has a mass M and radius R. It is free to rotate about
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Released frm rest, passes through horizontal in final state, and
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rotate around an
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and by t = 20 s it
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Calculate the angular acceleration ↵.
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Given
• Hollow hoop has a mass M and radius R. It is free to rotate about
an axis perpendicular to the page and the edge of the hoop.
Released frm rest, passes through horizontal in final state, and
rotates right
Question
A. Direction of final angular velocity and acceleration
vector?
B. Rotational inertia of hoop about axis before it is released
Do the following increase, decrease,, or remain the
same (Between final and initial)
C. Magnitude of gravitational PE...
A solid disk with a mass of 40 kg and a radius of 0.6 m can
rotate around an
axis through its center, perpendicular to the disk surface. At
time t = 0 s, the
disk is not turning. It has a constant angular acceleration ↵
and by t = 20 s it
has completed 500 complete turns.
Calculate the angular acceleration ↵.
Calculate the angular velocity ! at t = 20 s.
Calculate the rotational kinetic energy at t...
4A uniform rod of length L-2.5 m and mass M- 5.8 kg is free to rotate about the y axis at one opposite end of the rod with initial speed 3.4 m/s in a direction that is perpendicular to the rod. The sphere rebounds off of the rod in the opposite direction with a speed of 1.8 m/s. end, as shown. A steel sphere of mass m = 1.7 kg is thrown at the 72 a. Calculate the moment of...
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