1) A block of mass m₁ is initially held in place on a plane inclined at an angle 8 from the

horizontal, a distance L away from the edge and is attached with a rope over a frictionless

pulley to a second block of mass m₂, see Figure 1. The coefficient of kinetic friction between

the block with mass m₁ and the surface is uk. If at time t = 0 the block m₁ is allowed to

move and begins sliding towards the edge of the inclined plane

a)

Draw the free-body diagram for mass m₁.

b) Draw the free-body diagram for mass m₂.

c) Write Newton's equations for mass m₁.

d) Write Newton's equations for mass m₂.

e)

Determine the acceleration for box m₂ as a function of the masses, coefficient of kinetic

friction and the acceleration due to gravity, g.

f)

Determine the time it takes for block m₁ to reach the edge of the table.

g) Determine the speed of block m₁ when it reaches the edge of the inclined plane./ng

I

Figure 2

2) A block of mass m₁ is initially held in place on a surface a distance L away from the edge and

is attached with a rope over a frictionless pulley to a second block of mass m₂. The

coefficient of kinetic friction between the block with mass m₁ and the surface is uk, see

Figure 2. Determine the acceleration of mass m₁ if at time t = 0 the block m₁ is allowed to

move and begins sliding towards the edge of the table. Note: you may reference any work

and/or equations from the previous problem.

m2

m₁

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