3. We will repeat the previous problem using energy arguments. Comment: Mechanical energy is conserved since the point where the string contacts the yo-yo is momentarily at rest so that the tension does not do work on the yo-yo. 3R a. How fast is the yo-yo moving after it has fallen a distance H from rest? M M b. Use the constant acceleration kinematics relation v = vy + 2 a,Ay to determine the downward acceleration of the yo-yo. Check that you answer is consistent with your answer from the previous problem.
3. We will repeat the previous problem using energy arguments. Comment: Mechanical energy is conserved since the point where the string contacts the yo-yo is momentarily at rest so that the tension does not do work on the yo-yo. 3R a. How fast is the yo-yo moving after it has fallen a distance H from rest? M M b. Use the constant acceleration kinematics relation v = vy + 2 a,Ay to determine the downward acceleration of the yo-yo. Check that you answer is consistent with your answer from the previous problem.
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ONLY NUMBER 3
Transcribed Image Text:3. We will repeat the previous problem using energy arguments.
Comment: Mechanical energy is conserved since the point where the
string contacts the yo-yo is momentarily at rest so that the tension
does not do work on the yo-yo.
3R
a. How fast is the yo-yo moving after it has fallen a distance H from rest?
м м
b. Use the constant acceleration kinematics relation v3 = vảy + 2 a,Ay to determine the downward acceleration
of the yo-yo. Check that you answer is consistent with your answer from the previous problem.
Transcribed Image Text:2. A yo-yo consists of two solid disks, each of mass M and radius 3R.
The two disks are connected by a rod of radius R and negligible
mass. Assume the yo-yo starts at rest.
a. Use the view on the right to draw the extended free body
3R
diagram for the yo-yo.
b. What is the moment of inertia of the yo-yo about an axis
through its symmetry axis?
M M
c. Write Newton's 2nd law for the yo-yo. Choose your coordinate system carefully.
d. Write the rotational form of Newton's 2d law for the yo-yo. Treat the center of mass as being at the axis of
rotation. Choose the positive direction of the rotation so a is positive.
e. The point where the yoyo is momentarily at rest is where the string contacts the rod of the yo-yo. Use this to
obtain a relation between the acceleration of the center of mass and the angular acceleration.
f. Determine the linear acceleration of the yo-yo.
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