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Question

Two blocks A and B of mass m and 4m are connected with a rod PQ of length l and mass 6m through light strings. There is no friction anywhere. If the system is released from rest and the rod PQ slides on the incline, then for the position shown in the figure, the ratio of the speeds of the mass A to that of the mass B is:
992157_15b630b81bed418f9ddb985762d2ad18.png
  1. sinαsinβ
  2. cosαcosβ
  3. cos(α+β)cos(αβ)
  4. sin(α+βsin(αβ)

A
cos(α+β)cos(αβ)
B
cosαcosβ
C
sinαsinβ
D
sin(α+βsin(αβ)
Solution
Verified by Toppr

Constraint equation :
VAcosβ=VBcosα

VAVB=cosαcosβ


1073178_992157_ans_f2878ddfbc37429abae2890e232fb95c.png

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992157_15b630b81bed418f9ddb985762d2ad18.png
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