Relation between MA and VR

Q.

How is the mechanical advantage related to the velocity ratio for an ideal machine?

1. Mechanical advantage is always greater than the velocity ratio.

2. Mechanical advantage is equal to the velocity ratio.

3. Mechanical advantage is always less than the velocity ratio.

4. Mechanical advantage can be greater/ less than the velocity ratio.

Q.

Write an expression to show the relationship between mechanical advantage, velocity ratio, and efficiency for a simple machine.

Q.

A pulley system has three pulleys. A load of $120\mathrm{N}$ is overcome by applying an effort of $50\mathrm{N}$. Calculate the mechanical advantage and efficiency of this system.

Q.

With reference to the terms mechanical advantage, velocity ratio, and efficiency of a machine, name and define the term that will not change for a machine of a given design.

Q.

How is the mechanical advantage related to the velocity ratio for (i) an ideal machine, (ii) a practical machine?

Q.

What is the relationship between the mechanical advantage and the velocity ratio for an ideal machine?

Q. Since machines having $\text{MA}$ less than $1$ need more effort for a given load, why do we even use such machines?

Q.

Derive a relationship between $\mathrm{MA},\mathrm{VR}\mathrm{and}\mathrm{\eta }$ of a machine.

Q.

A pulley system has a velocity ratio of $3$ and an efficiency of $80\%$. Calculate
(i) the mechanical advantage of the system.
(ii) the effort required to raise a load of $480\mathrm{N}$ by the system.