The left rope in the figure is attached at one end to block 1 of mass my that can slide along a frictionless incline surface of angle with respect to the horizontal. The rope passes through a fixed pulley, pulley A, and through a movable pulley, pulley B. The other end of the rope is attached to the ceiling at point P. The right rope is attached to one end to pulley B, passes through a second movable pulley, pulley C, and its other end is attached to the ceiling at point Q. (Part b) In this part of the problem you will set up the equations from Newton's 2nd law. We are assuming that the ropes and pulleys are massless and that there is no friction between the ropes and the pulleys. As a result, the magnitude of the force of tension along each rope is the same. Ty is the magnitude of the force of tension at any point along the left rope. Te is the magnitude of the force of tension at any point along the right rope, and T, is the magnitude of the force of tension at any point along the rope connecting pulley C and block 2. Draw the free body force diagram of block 1, pulley B, pulley C and block 2. Then apply Newton's second law to each of the objects. System ΣΕ Block1 i: ΣF PulleyB }: Σron B Pulleyc j: ΣF C Block 23: Fon 2 m₂day Complete the F column of the table above. Express your answer in terms of g, m_1 for my, m 2 for m₂, theta for 8.T_L for TL.TR for T. and Tv for T, as needed. Fon 1 ΣΕΒ. Σ Fan C mä Σpon 2 max may
The left rope in the figure is attached at one end to block 1 of mass my that can slide along a frictionless incline surface of angle with respect to the horizontal. The rope passes through a fixed pulley, pulley A, and through a movable pulley, pulley B. The other end of the rope is attached to the ceiling at point P. The right rope is attached to one end to pulley B, passes through a second movable pulley, pulley C, and its other end is attached to the ceiling at point Q. (Part b) In this part of the problem you will set up the equations from Newton's 2nd law. We are assuming that the ropes and pulleys are massless and that there is no friction between the ropes and the pulleys. As a result, the magnitude of the force of tension along each rope is the same. Ty is the magnitude of the force of tension at any point along the left rope. Te is the magnitude of the force of tension at any point along the right rope, and T, is the magnitude of the force of tension at any point along the rope connecting pulley C and block 2. Draw the free body force diagram of block 1, pulley B, pulley C and block 2. Then apply Newton's second law to each of the objects. System ΣΕ Block1 i: ΣF PulleyB }: Σron B Pulleyc j: ΣF C Block 23: Fon 2 m₂day Complete the F column of the table above. Express your answer in terms of g, m_1 for my, m 2 for m₂, theta for 8.T_L for TL.TR for T. and Tv for T, as needed. Fon 1 ΣΕΒ. Σ Fan C mä Σpon 2 max may
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:System
Block 1 î:
Pulley B:
PulleyC j:
Block 2
on B
ΣFon
Fon C
y
The left rope in the figure is attached at one end to block 1 of mass m₁ that can slide along a frictionless incline surface of
angle with respect to the horizontal. The rope passes through a fixed pulley, pulley A, and through a movable pulley, pulley B.
The other end of the rope is attached to the ceiling at point P. The right rope is attached to one end to pulley B, passes through
a second movable pulley, pulley C, and its other end is attached to the ceiling at point Q.
ΣΕ
Fon 1
Fon B
on C
ΣFon
2
Σ Fon 2
(Part b) In this part of the problem you will set up the equations from Newton's 2nd law. We are assuming that the ropes and
pulleys are massless and that there is no friction between the ropes and the pulleys. As a result, the magnitude of the force of
tension along each rope is the same. It is the magnitude of the force of tension at any point along the left rope, TR is the
magnitude of the force of tension at any point along the right rope, and T, is the magnitude of the force of tension at any
point along the rope connecting pulley C and block 2.
j: ΣFon
Left rope
Draw the free body force diagram of block 1, pulley B, pulley C and block 2. Then apply Newton's second law to each of the
objects.
=
=
1
ma
m1a1x
0
0
m2 azy
Pulley A
= m₁a1x
Complete the F column of the table above. Express your answer in terms of g, m_1 for m₁, m_2 for m₂, theta for 0, T_L for
TL, T_R for TR, and T_v for T, as needed.
ΣFon1
= 0
ceiling
Right rope
= 0
Pulley B
Pulley C
= m₂a2y
8
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