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aman.dhanda (2)

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A car is moving with uniform acceleration 2m/s2. A pendulum is hanged in the car. A man is standing out side the car. Find the angle that the pendulum makes with the vertical w.r.t man.
 
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nishant_88 (275)

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Tsin@=ma
Tcos@=mg
So tan@=2/10
@=11.3degrees

rate me if you find this useful
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krishna.gopal (2149)

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Perfevt answer nishant

Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi
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Chumki (5)

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You're correct Nishant!
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aman.dhanda (2)

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because with the bob of the pendulum the hanged part of the string also move
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aman.dhanda (2)

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The answer is incorrect.
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spideyunlimited (3083)

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no hes perfectly correct.
acceleration of the car behaves in the same way as if car was stationary and acceleration was provided to the bob of pendulum in opp. direction. this is using concept of pseudoforce.

so let tension of tilted string making angle @ with vertical = T
equating forces on bob, we get
Tcos@ = mg
Tsin@ = ma

divide to solve and we get
tan@ = a / g. substitute values
tan@ = 2/ 9.8

@ = tan inverse (0.204) approx.



PLZ RATE :)


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gouravdhanda (0)

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Let mass of car be m.
Then pseudo force on the bob and the tied part of the pendulum is constant
i.e. 2m
Therefore the pendulum makes an angle
of 0 degree with the verticle w.r.t to man.
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spideyunlimited (3083)

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@gouravdhanda man wht r u doing!?!


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spideyunlimited (3083)

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u have to equate all the forces. pseudoforce is constant ok.. how do u get 0 degrees from that?.. angle will be 0 degrees when car is moving with constant velocity..
havent u experienced a backward force when the vehicle ur travelling in is accelerating.. and ur body gets tilted.


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