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Two bodies, each made up of weights from a set, are connected by a light cord that passes over a light, frictionless pulley with a diameter of 56.0 mm. The two bodies are at the same level. Each originally has a mass of 850 g. (a) Locate their center of mass. (b) Thirty-four grams are transferred from one body to the other, but the bodies are prevented from moving. Locate the center of mass. (c) The two bodies are now released. Describe the motion of the center of mass and determine its acceleration.

Two bodies, each made up of weights from a set, are connected by a light cord that passes over a light, frictionless pulley with a diameter of 56.0 mm. The two bodies are at the same level. Each originally has a mass of 850 g. (a) Locate their center of mass. (b) Thirty-four grams are transferred from one body to the other, but the bodies are prevented from moving. Locate the center of mass. (c) The two bodies are now released. Describe the motion of the center of mass and determine its acceleration.

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
8 years ago
(a) Initially, when the mass on both the sides of the pulley is equally distributed, the center of mass of the system lays half way between the two masses.
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Therefore the center of mass of the system is 26.9 mm from the heavier object.
234-1634_1.PNG
Therefore, the acceleration of the heavier object is 0.04g downwards while the lighter object moves in the upward direction with the same acceleration.
234-685_1.PNG

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