SIMPLE MACHINES 1

Considered Formulas

Example 1

A simple machine raises a load of 100 N by using a force 50 N. Calculate the mechanical advantage.
Solution

Example 2

A force of 20 N raises a load of 100 kg. Calculate mechanical advantage of the machine. 
Solution

Example 3

When a machine pressed by effort moved down a distance of 100 cm, while the load is raised through 25 cm at the same time. Find the velocity ratio.
Solution

Example 4

In a certain machine a force of 10 N moves down a distance of 0.05 m in order to raise a load of 100 N through a height of 0.5 cm calculated the velocity ratio (V.R) of the machine.
Solution

Example 5

In a certain machine a force of 10 N moves down a distance of 5 cm in order to raise a load of 80 N through a height of 0.5 cm, calculated the
i)        M.A
ii)       V.R
iii)   Efficiency of the machine.
Solution

Example 6

When an effort of 50 N is applied through 6 m on a machine, whose efficiency is 75%, such that load is overcome through 1.5 m. calculate the
a)      velocity ratio
b)      mechanical advantage
c)       load of which the machine overcome
Solution

EXERCISE

  1. If an input force of 40 N lifts an 80 N weight, what will be the mechanical advantage?
  2. You are a passenger in a truck that gets stuck in mud. You and the driver use a tree branch as a lever to lift up the truck. You apply an effort force of 600 N to the branch. The back of the truck weighs 2400 N. What is the mechanical advantage of the branch-lever?
  3. Suppose that you are riding a bicycle. You exert an effort force of 697 N downward as you push on the pedals. The resulting load force that causes the bicycle to move forward is 93 N. What is the mechanical advantage of the bicycle?
  4. Two people use a ramp to move a heavy box onto a truck. The box weighs 750 N. The mechanical advantage of using the ramp is 4. How much effort is required to move the box?
  5. A pulley is used to raise a bucket that weighs 60 N. How much effort is required if the mechanical advantage is 1?
  6. If you lift a 200-newton box with a block and tackle machine and you apply 20 newtons to lift this box, what would be the mechanical advantage of the machine?
  7. The wheelbarrow in Figure 2 has an effort arm 120 cm long and a load arm 40 cm long. What is its Velocity ratio?
  8. A simple machine raises a load of 1600 N through a distance of 1.6 m. The effort applied to the machine is 200 N and moves through a distance of 16 m. Calculate
    a)      Mechanical advantage,
    b)      Velocity ratio

    c)       Efficiency.
  9. If 50 N effort is needed to lift 100 N load. If effort distance is 2 m but load distance is 10 cm then, find
    a)      Mechanical advantage,
    b)      Velocity ratio and
    c)       Efficiency.
  10. A resistance of 1400 N is being overcome by a simple machine of velocity ratio 7 and efficiency of 90%. Find the:-
    a)      Mechanical advantage
    b)   Effort required to overcome the load
  11. The efficiency of a simple machine is 80% and a 400 -N weight is lifted a vertical height of 2 m. If an input force of 20 N is required, what distance must be covered by the input force?
  12. An effort of 500 N is applied through 0.50 m on a machine, whose efficiency is 90%, such that load is overcome through 0.04 m. Calculate
    a)      Velocity ratio
    b)      Load of which the machine overcome
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