Problem #1: Two masses, m₁ = 30.0 kg and m₂, = 10.0 kg are connected by a massless, ideal rope. When held in place, m₂ rests on a frictionless ramp of incline 0 = 30.0°, and m, hangs with rope over a pulley like in the image to the right. (a) If the masses are let go and allowed to move, what will be the magnitude of acceleration and direction for each? Label the axes/direction in the diagram or state clearly how you set them up in your response. (b) Consider if friction were present: what coefficient of static friction would be necessary to hold the masses in place, at rest? m₁

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...
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Problem #1:
Two masses, m₁ = 30.0 kg and m₂ = 10.0 kg are connected
by a massless, ideal rope. When held in place, m₂ rests on a
frictionless ramp of incline 0 = 30.0°, and m, hangs with
rope over a pulley like in the image to the right.
m₂
(a) If the masses are let go and allowed to move, what will be
the magnitude of acceleration and direction for each?
Label the axes/direction in the diagram or state clearly how you set them up in your response.
(b) Consider if friction were present: what coefficient of static friction would be necessary to hold the
masses in place, at rest?
m₁
Transcribed Image Text:Problem #1: Two masses, m₁ = 30.0 kg and m₂ = 10.0 kg are connected by a massless, ideal rope. When held in place, m₂ rests on a frictionless ramp of incline 0 = 30.0°, and m, hangs with rope over a pulley like in the image to the right. m₂ (a) If the masses are let go and allowed to move, what will be the magnitude of acceleration and direction for each? Label the axes/direction in the diagram or state clearly how you set them up in your response. (b) Consider if friction were present: what coefficient of static friction would be necessary to hold the masses in place, at rest? m₁
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The masses are backwards on the 2 blocks, so the 30kg block is m2 the block on the ramp. 

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