you have a 200 kg bag being lifted with a block and tackle. If you pull with 100 newtons what is the MA of the system?
2 answers:
Answer:
The mechanical advantage of the system is equal to 19.62
Explanation:
The ratio of the force produced by a machine to the force applied to it is called mechanical advantage. In other words it is the ratio of output force to the input force.
In this problem mass=200kg
applied force=100N
input force=100N
output force=
mechanical advantage
It gives an idea about the efficiency of a mechanical device. It is indeed a measure of force amplification. In block and tackle system an assembly of ropes and pulleys is used to lift loads. When the moving block is supported by a greater number of rope sections the force amplification will be more.
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Answer:
W = 0.678 rad/s
Explanation:
Using the conservation of energy:
Roll up and hill without slipping is the sumatory of two energys, rotational and translational, so:
where I is the moment of inertia, W the angular velocity at the base of the hill, m the mass of the ball, V the velocity at the base of the hill, g the gravity and h the altitude.
First, we will find the moment of inertia as:
I =
where m is the mass and R the radius, so:
I =
I = 36.26 Kg*m^2
Then, replacing values on the initial equation, we get:
also we know that:
V =WR
so:
Finally, solving for W, we get:
W = 0.678 rad/s