4. Mechanical Systems
Simple Machines — Quiz
Test your understanding of simple machines with 5 practice questions.
Practice Questions
Question 1
A lever has an input arm of length $1.2 \, \text{m}$ and an output arm of length $0.3 \, \text{m}$. If the input force is $50 \, \text{N}$, what is the maximum load that can be lifted (assuming no friction and ideal conditions)?
Question 2
A compound pulley system has an ideal mechanical advantage (IMA) of $6$. If the actual mechanical advantage (AMA) is $5$, and the load being lifted is $600 \, \text{N}$, what is the efficiency of the system?
Question 3
An inclined plane is used to lift a $500 \, \text{N}$ crate. The inclined plane is $4 \, \text{m}$ long and $1 \, \text{m}$ high. If the actual force required to push the crate up the plane is $150 \, \text{N}$, what is the efficiency of the inclined plane?
Question 4
A wheel and axle system is used to lift a load. The radius of the wheel is $0.8 \, \text{m}$ and the radius of the axle is $0.2 \, \text{m}$. If the input force applied to the wheel is $90 \, \text{N}$, what load can be lifted by the axle under ideal conditions?
Question 5
A lever system has an actual mechanical advantage (AMA) of $2.5$, and the input arm is $2 \, \text{m}$ long. If the output arm is $0.8 \, \text{m}$ long, what is the efficiency of the lever?