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A double inclined plane is in the form of a wedge with fixed horizontal base & smooth faces inclined at an angle of 30 deg. to the horizontal. A 3 gm. particle is on one face and is connected by a light flexible inextensible string passing over the smooth ridge of the wedge to a 2 gm. particle on the other face. If the particles start moving from a position with the string is taut. find the direction & magnitude of the 2 gm. particle relative to the 3 gm particle,one second later,if the string is sufficiently long for the particles still to be on the respective faces of the wedge

A double inclined plane is in the form of a wedge with fixed horizontal base & smooth faces inclined at an angle of 30 deg. to the horizontal. A 3 gm. particle is on one face and is connected by a light flexible inextensible string passing over the smooth ridge of the wedge to a 2 gm. particle on the other face. If the particles start moving from a position with the string is taut. find the direction & magnitude of the 2 gm. particle relative to the 3 gm particle,one second later,if the string is sufficiently long for the particles still to be on the respective faces of the wedge

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pavan

 

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3g/2 -T =3a   .............1

T-2g/2  =2a ...............2

solve  a=g/10

magnitude of velocity of both the mass is =0+g/10 *1

                                                            =g/10

Velocity of 3 g mass wrt eart is  V3-e =g/10 (cos210 i + sin210 j)

Velocity of 2 g mass wrt eart is  V2-e =g/10 (cos150 i + sin150 j)

velocity 0f 2g mass wrt 3g mass is V2-3 =V2-e  -  V3-e

     NOw you can easly solve


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Badiuddin

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