A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp= 60kg, and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank. a) Draw an "extended" free body diagram indicating where each of the forces acts on the plank. b) What is the direction and magnitude of the force from the hinge on the plank? c) What is the magnitude of the force from the pole pushing down on the plank? d) The clown jumps from the plank into a tank of water below. Immediately after he jumps and the plank loses contact with the pole hanging from the ceiling, what is the magnitude of the angular acceleration of the plank as it begins to rotate about the frictionless hinge? Recall that the moment of inertia of a long thin uniform density object about its center of mass is Iem= (1/12)ML². e) What is the total kinetic energy of the plank right before it rotates into the vertical position?
A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp= 60kg, and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank. a) Draw an "extended" free body diagram indicating where each of the forces acts on the plank. b) What is the direction and magnitude of the force from the hinge on the plank? c) What is the magnitude of the force from the pole pushing down on the plank? d) The clown jumps from the plank into a tank of water below. Immediately after he jumps and the plank loses contact with the pole hanging from the ceiling, what is the magnitude of the angular acceleration of the plank as it begins to rotate about the frictionless hinge? Recall that the moment of inertia of a long thin uniform density object about its center of mass is Iem= (1/12)ML². e) What is the total kinetic energy of the plank right before it rotates into the vertical position?
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2020Q5: Please answer all parts in specific detail and explain each step with reasoning
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Diving clown
A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp = 60kg,
and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in
contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank.
a) Draw an "extended" free body diagram indicating where each of the forces acts on the plank.
b) What is the direction and magnitude of the force from the hinge on the plank?
c) What is the magnitude of the force from the pole pushing down on the plank?
d) The clown jumps from the plank into a tank of water below. Immediately after he jumps and the plank
loses contact with the pole hanging from the ceiling, what is the magnitude of the angular acceleration of
the plank as it begins to rotate about the frictionless hinge? Recall that the moment of inertia of a long
thin uniform density object about its center of mass is Iem = (1/12)ML².
e) What is the total kinetic energy of the plank right before it rotates into the vertical position?
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