Laws of Motion

JEE Main 2015 Tutorials › Mechanics questions › Laws of Motion

A trolley is being self-pulled up an incline plane by a man sitting in it. He applies a force of 250 N. If the combined mass of the man and trolley is 100 kg, find the acceleration of the trolley.

#Physics #Mechanics

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9 Answers

466

Himanshu Giria ·2013-07-21 18:05:44

Then just draw the F.B.D. of man and trolley together and you will get it

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Aniq Ur Rahman that's where the problem is. The length of the rope has to decrease if man is also moving, I dont understand it!
Upvote·0· Reply ·2013-07-25 02:57:38
Himanshu Giria Which string- the rope joining man and the pulley or the other one
Upvote·0· Reply ·2013-07-25 04:03:56
Aniq Ur Rahman the rope which is i man's hands (F), from there
Upvote·0· Reply ·2013-07-25 05:01:02
Himanshu Giria Actually the effective length of string would decrease as some part of the string would be left behind by the man as he moves forward Just imagine this practically and I think you Would understand this ...
Upvote·0· Reply ·2013-07-25 05:23:41
Aniq Ur Rahman that's what I'm tryin to say!
Upvote·0· Reply ·2013-07-25 06:25:56
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3

Manish Sarkar ·2013-07-19 06:56:39

Is there any friction??

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Aniq Ur Rahman No friction
Upvote·0· Reply ·2013-07-19 06:58:16
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51

Aniq Ur Rahman ·2013-07-19 06:58:01

No friction

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3

Manish Sarkar ·2013-07-19 07:34:41

is the accln. 14.5 m/s^2??

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466

Himanshu Giria ·2013-07-19 09:51:34

Is it 4.128 ms^-2

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51

Aniq Ur Rahman ·2013-07-19 10:05:01

The Answer is 5 ms^-2.
It's in Shastras (Pg. 15) but I'm not able to get the answer

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51

Aniq Ur Rahman ·2013-07-21 10:32:51

I'm sorry! it's 15Â° not 5Â°

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466

Himanshu Giria ·2013-07-21 18:04:10

Then just draw the F.B.D. of man and block and you will get it

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1161

Akash Anand ·2013-07-30 07:16:34

Here is the one line solution:

3T-100g=100a

Put T = 250N and g= 10m/s^2 you will get a = 4.91â‰ˆ5 m/s^2

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Aniq Ur Rahman why 100g? it's kept on an incline plane. don't i have to consider 100gsin 15^o instead of 100g ??
Upvote·0· Reply ·2013-08-01 03:25:58
Swastik Haldar we should put 100gsin15. I got the answer by putting 100gsin15.....
Upvote·0· Reply ·2013-08-01 22:39:49
Anindita Roy it should be 100gsin15 ..
Upvote·0· Reply ·2013-08-02 02:58:36
Himanshu Giria Yes . I too did with 100gsin15 ...
Upvote·0· Reply ·2013-08-02 18:01:58
Aniq Ur Rahman yep! got it!!
Upvote·0· Reply ·2013-08-03 00:30:21
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