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An Atwood\'s machine consists of two masses suspended by an ideal string over an

ID: 1342411 • Letter: A

Question

An Atwood's machine consists of two masses suspended by an ideal string over an ideal pulley. The larger mass is 95.0 grams, and the smaller mass is 85.0 grams. When released, the larger mass will fall and pull the smaller mass upwards. What is the acceleration of this system (in m/s^2)?

An Atwood's machine consists of two masses suspended by an ideal string over an ideal pulley. The larger mass is 95.0 grams, and the smaller mass is 85.0 grams. When released, the larger mass will fall and pull the smaller mass upwards. What is the tension in the string (in N)?

What is the centripital acceleration (in m/s^2) of a child who sits on the edge of a merry-go-round which spins at a constant angular speed of 3.00 rad/s if the child is sitting 2.00 m from the center of the merry-go-round?

Explanation / Answer

apply accleration a for atwoods machine

a = (m2-m1)*g/(m1+m2)

a = (0.095-0.085)* 9.8/(0.095+ 0.085)

a = 0.544 m/s^2

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Tension T = 2m1m2g/(m1+m2)

T = 2* 0.095* 0.085* 9.8/(0.095+ 0.085)

T = 0.8792 N

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centripetal accelation a = rW^2

a = 2 * 3*3

a = 18 m/s^2

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