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Two objects with masses m1 and m2 are connected to one another via a massless rope that is threaded through a massless pulley. On top of mass m1 is a mass m3 = 0.5 kg, with a coefficient of static friction between the two masses μs = 0.5. The coefficient of kinetic friction between m1 and the inclined surface is 0.1. In the diagram below θ = 20◦ (Diagram attached in image) A) Draw free body diagrams for the three masses. Label any interaction pairs of forces.   B) Given m1 = 2 kg, for what value of mass m2 will m3 just begin to slip off of m1 to the right?   C) Now assume m3 is removed from the situation. Given the value of m2 calculated above, by how much does the thermal energy of this total system increase as m2 descends downwards by 0.25 meters?

Two objects with masses m1 and m2 are connected to one another via a massless rope that is threaded through a massless pulley. On top of mass m1 is a mass m3 = 0.5 kg, with a coefficient of static friction between the two masses μs = 0.5. The coefficient of kinetic friction between m1 and the inclined surface is 0.1. In the diagram below θ = 20◦ (Diagram attached in image) A) Draw free body diagrams for the three masses. Label any interaction pairs of forces.   B) Given m1 = 2 kg, for what value of mass m2 will m3 just begin to slip off of m1 to the right?   C) Now assume m3 is removed from the situation. Given the value of m2 calculated above, by how much does the thermal energy of this total system increase as m2 descends downwards by 0.25 meters?

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Two objects with masses m1 and m2 are connected to one another via a massless rope that
is threaded through a massless pulley. On top of mass m1 is a mass m3 = 0.5 kg, with a coefficient of
static friction between the two masses μs = 0.5. The coefficient of kinetic friction between m1 and the
inclined surface is 0.1. In the diagram below θ = 20◦ (Diagram attached in image)

A) Draw free body diagrams for the three masses. Label any interaction pairs of forces.

 

B) Given m1 = 2 kg, for what value of mass m2 will m3 just begin to slip off of m1 to the
right?

 

C) Now assume m3 is removed from the situation. Given the value of m2 calculated above,
by how much does the thermal energy of this total system increase as m2 descends downwards by 0.25
meters?

 

 

Two objects with masses m₁ and m2 are connected to one another via a massless rope that is threaded through a massless pulley. On top of mass m₁ is a mass m3 = 0.5 kg, with a coefficient of static friction between the two masses μ = 0.5. The coefficient of kinetic friction between m₁ and the inclined surface is 0.1. In the diagram below 0 = 20° right? m₂ m3 Given mi m₁ 0 Figure 2: Diagram of the problem. Draw free body diagrams for the three masses. Label any interaction pairs of forces. = 2 kg, for what value of mass m2 will m3 just begin to slip off of m₁ to the Now assume m3 is removed from the situation. Given the value of m2 calculated above, by how much does the thermal energy of this total system increase as m2 descends downwards by 0.25 meters?
Transcribed Image Text:Two objects with masses m₁ and m2 are connected to one another via a massless rope that is threaded through a massless pulley. On top of mass m₁ is a mass m3 = 0.5 kg, with a coefficient of static friction between the two masses μ = 0.5. The coefficient of kinetic friction between m₁ and the inclined surface is 0.1. In the diagram below 0 = 20° right? m₂ m3 Given mi m₁ 0 Figure 2: Diagram of the problem. Draw free body diagrams for the three masses. Label any interaction pairs of forces. = 2 kg, for what value of mass m2 will m3 just begin to slip off of m₁ to the Now assume m3 is removed from the situation. Given the value of m2 calculated above, by how much does the thermal energy of this total system increase as m2 descends downwards by 0.25 meters?
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