Question
The relation between the magnitudes of acceleration of pulley P1 (ap1) and that of pulley P3 (ap3) is
Answer: Option A
:
A
∴ x1+ x1- x2+ x3- x2+x3-x1= L
L is length of string.
⇒x1- 2x2+ 2x3= L
Assuming mass 'm' moves downward
P1will move up. Which means distance from P1and reference point will reduce.
∴d2x1dt2=−a(p1)
Differentiating twice
∴ ⇒- a1- 0 + 2a3= 0 (x2is constant)
⇒2a3=a1
⇒ 2a(p3) = a(p1)
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:
A
∴ x1+ x1- x2+ x3- x2+x3-x1= L
L is length of string.
⇒x1- 2x2+ 2x3= L
Assuming mass 'm' moves downward
P1will move up. Which means distance from P1and reference point will reduce.
∴d2x1dt2=−a(p1)
Differentiating twice
∴ ⇒- a1- 0 + 2a3= 0 (x2is constant)
⇒2a3=a1
⇒ 2a(p3) = a(p1)
Was this answer helpful ?
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