die total mass of the system were constant, what would a graph of acceleration 'a' as a function of hanging mass look like? What would its slope be? Acceleration Hangin

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Chapter1: Units, Trigonometry. And Vectors
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Number 2 If the total mass of the system were constant, what would a graph of acceleration a function of hanging mass look like ? What would it’s slope be ?
Background
The two-body system shown below consists of a glider of mass M, attached to a hanger
of mass m, by a light string that passes over a light pulley that has negligible friction:
Glider
Smart Pulley
mI Mass hanger
The acceleration of this two-body system can be derived using Newton's 2nd Law, and
turns out to be
mg
a =
m + M
Or
hanging mass
a =
total mass
If the total mass (m + M) of the system is kept constant, the acceleration is directly
proportional to the hanging mass.
By transferring incremental weights from the glider cart to the hanger, we will vary the
hanging mass, while keeping the total mass of the system constant.
71
Transcribed Image Text:Background The two-body system shown below consists of a glider of mass M, attached to a hanger of mass m, by a light string that passes over a light pulley that has negligible friction: Glider Smart Pulley mI Mass hanger The acceleration of this two-body system can be derived using Newton's 2nd Law, and turns out to be mg a = m + M Or hanging mass a = total mass If the total mass (m + M) of the system is kept constant, the acceleration is directly proportional to the hanging mass. By transferring incremental weights from the glider cart to the hanger, we will vary the hanging mass, while keeping the total mass of the system constant. 71
system. How does the acceleration of the system depend on the hanging mass?
redictions
1. Draw free body diagrams, and derive the equation for the acceleration of the
The bam The hangng mass
2. If the total mass of the system were constant, what would a graph of acceleration
'a' as a function of hanging mass look like? What
would its slope be?
Acceleration
Hanging
R Dot.
Transcribed Image Text:system. How does the acceleration of the system depend on the hanging mass? redictions 1. Draw free body diagrams, and derive the equation for the acceleration of the The bam The hangng mass 2. If the total mass of the system were constant, what would a graph of acceleration 'a' as a function of hanging mass look like? What would its slope be? Acceleration Hanging R Dot.
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