In fig shows a system of four pulleys. The upper two puleys are fixed and the lower two are movable.

(a) Draw a string around the pulleys.Also show the point of application and direction in which the effort E is applied.

(b) What is the velocity ratio of the system ?

(c) How are load and effort of the pulley system related ?

(d) What assumption do you make in arriving at your answer in part (c) ?

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Solution

(a)

(b) Velocity ratio of the system = n = 4

(c) The relation between load and effort
MA= $fraction numerator L o a d space over denominator E f f o r t end fraction equals 4$
(d) (i) There is no friction in the pulley bearing, (ii) weight of lower pulleys is negligible and (iii) the effort is applied downwards.

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(a) (b) Velocity ratio of the system = n = 4 (c) The relation between load and effort MA= (d) (i) There is no friction in the pulley bearing, (ii) weight of lower pulleys is negligible and (iii) the effort is applied downwards.