Advertisements
Advertisements
Question
A pulley system has a velocity ratio 3. Draw a diagram showing the point of application and direction of load (L), effort (E) and tension (T). It lifts a load of 150 N by an effort of 60 N. Calculate its mechanical advantage. Is the pulley system ideal? Give reason.
Solution
-
Above is a diagram of the block and tackle pulley system with a velocity ratio of 3, along with markers for the directions of load (L), effort (E), and tension (T).
- Given L = 150 N, E = 60 N
Mechanical advantage M.A.
= `"Load"/"Effort"`
= `150/60`
= 2.5 - This is not the ideal pulley system.
RELATED QUESTIONS
A gear system has one wheel with 10 teeth and the other wheel with 50 teeth. Calculate the gain in speed and the gain in torque that you can obtain using them. What will be the gear ration in each case?
A gear system has the driving wheel of radius 2 cm and driven wheel of radius 20 cm.
(a) Find the gear ratio.
(b) If the number of rotations made per minute by the driving wheel is 100, find the number of rotations per minute made by the driven wheel.
(c) If the driven wheel has 40 teeth, find the number of teeth in the driving wheel.
A fixed pulley is driven by a 100 kg mass falling at a rate of 8.0 m in 4.0s. It lifts a load of 75.0 kgf. Calculate the power input to the pulley taking the force of gravity on 1 kg as 10 N.
In a block and tackle system consisting of 3 pulleys, a load of 75 kgf is raised with an effort of 25 kgf. Find:
- the mechanical advantage,
- velocity ratio and
- efficiency.
In following figure, draw a tackle to lift the load by applying the force in the downward direction.
- Mark in the diagram the direction of load L and effort E.
- If the load is raised by 1 m, through what distance will the effort move?
- State how many strands of tackle are supporting the load?
- What is the mechanical advantage of the system?
In following figure, shows a system of four pulleys, The upper two pulleys are fixed and the lower two are movable.
- Draw a string around the pulleys. Also show the place and direction in which the effort if applied.
- What is the velocity ratio of the system?
- How are load and effort of the pulley system related?
- What assumption do you make in arriving at your answer in part (c)?
A block and tackle system has the velocity ratio 3. Draw a labelled diagram of the system indicating the points of application and the directions of load L and effort E. A man can exert a pull of 200 kgf. What is the maximum load he can raise with this pulley system is its efficiency is 60%?
In the fig draw a tackle to lit a load by applying the torce in a convinient direction. Mark the position of load and effort.
(i) If the load is raised by 1 m, Through what distance will the effort move?
(ii) State how many strands of tackle are supporting the load?
(iii) What is the mechanical advantage of the sysytem?
A block and tackle system has the velocity ratio 3. Draw a labelled diagram of the system indicating the points of application and the directions of load L and effort E. A man can exert a pull of 200 kgf. If the effort end moves a distance 60 cm, what distance does the load move?
The mechanical advantage of a machine is 5 and its efficiency is 80%. It is used to lift a load of 200 kgf to a height of 20 m. Calculate:
(i) The effort required, and
(ii) The work done on the machine (g = 10 ms−2).