At your job at a warehouse, you have designed a method to help get heavy packages up a 15° ramp. The package is attached to a rope that runs parallel to the ramp and passes over a massive pulley with a moment of inertia I= 10.0 kg-m? and radius of 0.20 m, at the top of the ramp. The other end of the rope is attached to a counterweight that hangs straight down. The mass of the counterweight is always adjusted to be twice the mass of the package. m = 50 kg 15 However, your boss is worried that the acceleration of the package will make it too difficult to handle at the top of the ramp and tells you to calculate the acceleration of the package. To determine the influence of friction on the package by the ramp, you run some tests and find that using a horizontal force of 250 N, you can push a 50.0 kg package at a constant speed along a level floor made of the same material as the ramp. What will be the acceleration of the package up the ramp?

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At your job at a warehouse, you have designed a method to help
get heavy packages up a 15° ramp. The package is attached to a
rope that runs parallel to the ramp and passes over a massive
pulley with a moment of inertia I
m, at the top of the ramp. The other end of the rope is attached to a
counterweight that hangs straight down. The mass of the
counterweight is always adjusted to be twice the mass of the package.
10.0 kg-m and radius of 0.20
m= 50 kg
||
15°
However, your boss is worried that the acceleration of the package will make it too difficult to handle at
the top of the ramp and tells you to calculate the acceleration of the package.
To determine the influence of friction on the package by the ramp, you run some tests and find that using a
horizontal force of 250 N, you can push a 50.0 kg package at a constant speed along a level floor made of
the same material as the ramp.
What will be the acceleration of the package up the ramp?
Transcribed Image Text:At your job at a warehouse, you have designed a method to help get heavy packages up a 15° ramp. The package is attached to a rope that runs parallel to the ramp and passes over a massive pulley with a moment of inertia I m, at the top of the ramp. The other end of the rope is attached to a counterweight that hangs straight down. The mass of the counterweight is always adjusted to be twice the mass of the package. 10.0 kg-m and radius of 0.20 m= 50 kg || 15° However, your boss is worried that the acceleration of the package will make it too difficult to handle at the top of the ramp and tells you to calculate the acceleration of the package. To determine the influence of friction on the package by the ramp, you run some tests and find that using a horizontal force of 250 N, you can push a 50.0 kg package at a constant speed along a level floor made of the same material as the ramp. What will be the acceleration of the package up the ramp?
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