shows an Atwood machine that consists of two blocks (of masses m1 and m2) tied together with a massless rope that passes over a fixed, perfect (massless and frictionless) pulley. In this problem you'll investigate some special cases where physical variables describing the Atwood machine take on limiting values. Often, examining special cases will simplify a problem, so that the solution may be found from inspection or from the results of a problem you've already seen. For all parts of this problem, take upward to be the positive direction and take the gravitational constant, g, to be positive. m2 Part A Consider the case where mj and m2 are both nonzero, and m2 > mị. Let T¡ be the magnitude of the tension in the rope connected to the block of mass m¡, and let T be the magnitude of the tension in the rope connected to the block of mass m2. Which of the following statements is true? ANSWER: Tị is always equal to T, . T2 is greater than T1 by an amount independent of velocity. T2 is greater than Tị but the difference decreases as the blocks increase in velocity. There is not enough information to determine the relationship between T1 and T2. Part B Now, consider the special case where the block of mass m1 is not present. Find the magnitude, T, of the tension in the rope. Try to do this without equations; instead, think about the physical consequences. You did not open hints for this part. ANSWER: T = Part C For the same special case (the block of mass mị not present), what is the acceleration of the block of mass m2? Express your answer in terms of g, and remember that an upward acceleration should be positive.
shows an Atwood machine that consists of two blocks (of masses m1 and m2) tied together with a massless rope that passes over a fixed, perfect (massless and frictionless) pulley. In this problem you'll investigate some special cases where physical variables describing the Atwood machine take on limiting values. Often, examining special cases will simplify a problem, so that the solution may be found from inspection or from the results of a problem you've already seen. For all parts of this problem, take upward to be the positive direction and take the gravitational constant, g, to be positive. m2 Part A Consider the case where mj and m2 are both nonzero, and m2 > mị. Let T¡ be the magnitude of the tension in the rope connected to the block of mass m¡, and let T be the magnitude of the tension in the rope connected to the block of mass m2. Which of the following statements is true? ANSWER: Tị is always equal to T, . T2 is greater than T1 by an amount independent of velocity. T2 is greater than Tị but the difference decreases as the blocks increase in velocity. There is not enough information to determine the relationship between T1 and T2. Part B Now, consider the special case where the block of mass m1 is not present. Find the magnitude, T, of the tension in the rope. Try to do this without equations; instead, think about the physical consequences. You did not open hints for this part. ANSWER: T = Part C For the same special case (the block of mass mị not present), what is the acceleration of the block of mass m2? Express your answer in terms of g, and remember that an upward acceleration should be positive.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 15PQ
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Please answer all parts (A, B, C, D, E, F, G, and H).
Transcribed Image Text:shows an Atwood machine that consists of two blocks (of masses m1 and m2) tied together with a massless rope that passes over a fixed, perfect (massless and frictionless) pulley. In this problem you'll
investigate some special cases where physical variables describing the Atwood machine take on limiting values. Often, examining special cases will simplify a problem, so that the solution may be found from
inspection or from the results of a problem you've already seen.
For all parts of this problem, take upward to be the positive direction and take the gravitational constant, g, to be positive.
m2
Part A
Consider the case where mj and m2 are both nonzero, and m2 > mị. Let T¡ be the magnitude of the tension in the rope connected to the block of mass m¡, and let T be the magnitude of the tension in the rope connected to the block of mass m2. Which of
the following statements is true?
ANSWER:
Tị is always equal to T, .
T2 is greater than T1 by an amount independent of velocity.
T2 is greater than Tị but the difference decreases as the blocks increase in velocity.
There is not enough information to determine the relationship between T1 and T2.
Part B
Now, consider the special case where the block of mass m1 is not present. Find the magnitude, T, of the tension in the rope. Try to do this without equations; instead, think about the physical consequences.
You did not open hints for this part.
ANSWER:
T =
Part C
For the same special case (the block of mass mị not present), what is the acceleration of the block of mass m2?
Express your answer in terms of g, and remember that an upward acceleration should be positive.
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