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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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
Need Help?
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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Transcribed Image Text: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 Need Help? 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 Read It
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