An elevator car has two equal masses attached to the ceiling as shown. (Assumem - 4.05 kg.) T₁ T₂ @ (a) The elevator ascends with an acceleration of magnitude 1.30 m/s. What are the tensions in the two strings? (Enter your answers in N.) x T₂ = Draw free-body diagrams for each mass. What forces act on each mass? What are the directions of the forces due to each rope on the upper mass? How are the forces that the lower rope exerts on the two masses related? Apply Newton's second law to each mass. You might find it easier to solve for T, first, then use your result when solving for T-N 7₂-45 ✔N (b) The maximum tension the strings can withstand is 97.7 N. What is the maximum acceleration of the elevator so that a string does not break? (Enter the magnitude in m/s².) x Note that the tension is greater in the upper string, so this string will break first. Find a when T₁-7 m/s²

An elevator car has two equal masses attached to the ceiling as shown. (Assumem - 4.05 kg.) T₁ T₂ @ (a) The elevator ascends with an acceleration of magnitude 1.30 m/s. What are the tensions in the two strings? (Enter your answers in N.) x T₂ = Draw free-body diagrams for each mass. What forces act on each mass? What are the directions of the forces due to each rope on the upper mass? How are the forces that the lower rope exerts on the two masses related? Apply Newton's second law to each mass. You might find it easier to solve for T, first, then use your result when solving for T-N 7₂-45 ✔N (b) The maximum tension the strings can withstand is 97.7 N. What is the maximum acceleration of the elevator so that a string does not break? (Enter the magnitude in m/s².) x Note that the tension is greater in the upper string, so this string will break first. Find a when T₁-7 m/s²

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 65P: Consider the baby being weighed in the following figure. (a) What is the mass of the infant and...

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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

An elevator car has two equal masses attached to the ceiling as shown. (Assume m = 4.05 kg.)
T₂
=
m
(a) The elevator ascends with an acceleration of magnitude 1.30 m/s². What are the tensions in the two strings? (Enter your answers in N.)
T₁
X
= 45
m
T₂
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Draw free-body diagrams for each mass. What forces act on each mass? What are the directions of the forces due to each rope on the upper mass? How are the forces that the lower rope exerts on the two masses related? Apply Newton's second law to each mass. You might find it easier to solve for T₂ first, then use your result when solving for T₁. N
N
1
(b) The maximum tension the strings can withstand is 97.7 N. What is the maximum acceleration of the elevator so that a string does not break? (Enter the magnitude in m/s².)
X
Note that the tension is greater in the upper string, so this string will break first. Find a when T₁ = Tmax m/s²
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