The Geometry of Power – Advanced Simple Machines

The geometric study of how machines amplify force is often called:

If you increase the number of ropes supporting a load in a pulley system, the Mechanical Advantage:

The 'Power' of a machine is the rate of doing:

Which machine is used to change the direction of force without providing a force multiplier (MA = 1)?

Work input is always ______ work output in a real-world machine.

Which of the following is a Class II lever?

An ideal machine has an efficiency of $1$. This implies:

Which of these represents the velocity ratio of a system of 'n' movable pulleys attached to a single fixed pulley (separate strings)?

A machine with a velocity ratio of 5 lifts a load of $100\text{ N}$ using an effort of $30\text{ N}$. What is the work done by the machine (output) if the effort moves $10\text{ m}$?

In a hydraulic lift, the diameter of the effort piston is $2\text{ cm}$ and the load piston is $20\text{ cm}$. To lift a $1000\text{ kg}$ car, the effort force required (assuming $100\%$ efficiency) is:

Which part of the wheel and axle experiences the output force in a typical crane winch?

A wheel and axle is categorized as a simple machine because it ____.

In a gear system, a large gear driving a small gear is similar to a ____.

What happens to the torque if you double the force applied at the same radius?

If the effort is applied tangentially to the wheel and the load is lifted vertically by a rope on the axle, the effort and load are:

In a non-ideal wheel and axle, the $MA$ is always ____ the $VR$.

The distance moved by the effort in one revolution of a wheel with radius $R$ is:

If a load $W$ is raised by a wheel and axle through a height $h$, and the effort $E$ moves a distance $d$, the energy lost to friction is:

A steering wheel with radius $30\text{ cm}$ is used to move a steering rack with a resistive force of $900\text{ N}$. The axle radius is $3\text{ cm}$. If the driver can only exert $100\text{ N}$, what is the minimum efficiency required to operate the steering?

In a steering mastery context, 'over-steering' can sometimes be caused by a mechanical advantage that is too high for the driver to sense the road resistance. If $IMA$ is $20$ and $AMA$ is $15$, what is the percentage of effort used just to overcome internal system friction?

The efficiency of a machine is calculated as:

If three ropes support a load of $300\text{ N}$ equally, the tension in each rope is:

Tension is considered a vector quantity because it has both:

To find the mechanical advantage ($MA$) of a system, we use the formula:

A block and tackle system has 4 pulleys. To lift a load $2\ m$, how much rope must be pulled out?

Tension in a string is a type of:

If a system has a VR of 4 and an efficiency of $50\%$, what is the load that can be lifted by an effort of $100\ N$?

A pulley system is described as 'overhauling' if the load can move the system when the effort is removed. This occurs when the tension due to the load overcome friction, specifically when efficiency is:

A cable of length $L$ and linear mass density $\mu$ is being accelerated upwards at 'a' by a force $F$. The tension at a point $y$ from the top is:

A $100\,kg$ crate is pulled up a $30^\circ$ incline by a pulley system with $MA=2$. If the effort is $400\,N$, what is the efficiency of the machine? (Take $g = 10\,m/s^2$)