The diagram alongside shows an arrangement of three pulleys $A, B$ and $C$ . The load is marked as $L$ and the effort as $E$ . Calculate the mechanical advantage and velocity ratio of the arrangement.

M.A.= 4, V.R.= 4

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M.A.= 4, V.R.= 8

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M.A.= 2, V.R.= 4

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M.A.= 4, V.R.= 2

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Solution

The correct option is A M.A.= 4, V.R.= 4
Mechanical advantage (M.E)= $\frac{L o a d}{E f f o r t}$ = $\frac{4 T_{1}}{T_{1}}$ = 4
Veocity Ratio (V.R) = $\frac{d i s t a n c e m o v e d b y e f f o r t}{d i s t a n c e m o v e d b y l o a d}$ = 4
Efficiency = $\frac{M . A}{V . R}$ = 100 %

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Similar questions

How is the mechanical advantage (M.A) related to the velocity ratio(V.R) for an ideal machine?

(M . A .)

(V . R .)

(η)

The diagram alongside shows an arrangement of three pulleys A, B and C. The load is marked as L and the effort as E.

(a) Name the pulleys A, B and C.

(b) Mark in the diagram the directions of load (L) effort (E) and tension $T_{1}$ and $T_{2}$ in the two strings.

(d) Calculate the mechanical advantage and velocity ratio of the arrangement.

(e) What assumptions have you made in parts (c) and (d)?

V . R = 1

2.4

200

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