MULTISTEP The apparatus in Figure 4-60 is called an Atwood's machine and is used to measure the

Uploaded: 2022-03-22T20:19:59-08:00
Duration: 6 min 38 s
Channel: Shaiju T

Question

MULTISTEP The apparatus in Figure 4-60 is called an Atwood's machine and is used to measure the free-fall acceleration g by measuring the acceleration of the two blocks connected by a string over a pulley. Assume a massless, frictionless pulley and a massless string. (a) Draw the free-body diagram of each block. (b) Use the free-body diagrams and Newton's laws to show that the magnitude of the acceleration of either block and the tension in the string are a = (m1 - m2)g/(m1 + m2) and T = 2m1m2g/(m1 + m2). (c) Do these expressions give plausible results if m1 = m2, in the limit that m1 ? m2 and in the limit that m1 ? m2? Explain.

          MULTISTEP The apparatus in Figure 4-60 is called an Atwood's machine and is used to measure the free-fall acceleration g by measuring the acceleration of the two blocks connected by a string over a pulley. Assume a massless, frictionless pulley and a massless string. (a) Draw the free-body diagram of each block. (b) Use the free-body diagrams and Newton's laws to show that the magnitude of the acceleration of either block and the tension in the string are a = (m1 - m2)g/(m1 + m2) and T = 2m1m2g/(m1 + m2). (c) Do these expressions give plausible results if m1 = m2, in the limit that m1 ? m2 and in the limit that m1 ? m2? Explain.

MULTISTEP The apparatus in Figure 4-60 is called an Atwood's machine and is used to measure the free-fall acceleration g by measuring the acceleration of the two blocks connected by a string over a pulley. Assume a massless, frictionless pulley and a massless string. (a) Draw the free-body diagram of each block. (b) Use the free-body diagrams and Newton's laws to show that the magnitude of the acceleration of either block and the tension in the string are a = (m1 - m2)g/(m1 + m2) and T = 2m1m2g/(m1 + m2). (c) Do these expressions give plausible results if m1 = m2, in the limit that m1 ? m2 and in the limit that m1 ? m2? Explain.

Added by Eric B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shaiju T

03/22/2022

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MULTISTEP The apparatus in Figure 4-60 is called an Atwood's machine and is used to measure the free-fall acceleration g by measuring the acceleration of the two blocks connected by a string over a pulley. Assume a massless, frictionless pulley and a massless string. (a) Draw the free-body diagram of each block. (b) Use the free-body diagrams and Newton's laws to show that the magnitude of the acceleration of either block and the tension in the string are a = (m1 - m2)g/(m1 + m2) and T = 2m1m2g/(m1 + m2). (c) Do these expressions give plausible results if m1 = m2, in the limit that m1 ≫ m2 and in the limit that m1 ≪ m2? Explain.