The figure below shows two boxes connected to each other by...

The figure below shows two boxes connected to each other by a light cord that passes over a pulley with negligible friction. The box of mass m1 = 4.70 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.2 kg hangs vertically. (a) What is the magnitude of the acceleration of each box (in m/s2)? (Here, a1 is the acceleration of m1, and a2 is the acceleration of m2.) a1 = m/s2 a2 = m/s2 (b) What is the tension in the cord (in N)? N

Transcript

00:01 Hi, in this question it is given that a box of mass m1 is equal to 4 .7 kg is placed on a horizontal table with negligible friction.

00:10 And it is connected to another box of mass, m2 is equal to 10 .2 kg through a card which passes over a frictionless pulley.

00:22 We need to draw the free body diagram and determine the acceleration of each box and tension in the cart.

00:31 Let us say this is the box 1 whose mass is m1 and this is the box 2 whose mass is m2.

00:47 And what will the forces be acting on this mass m1? the weight of this box will be acting in the vertically downward direction.

00:56 Let us draw the big body diagram.

00:58 Weight of the box is nothing but m1.

01:02 And there will be normal reaction exerted by this horizontal terminal in the upward direction.

01:09 This will be the normal reaction.

01:12 And there will be tension in the row.

01:14 The tension will be this one.

01:18 Apart from all these things, there will be two to the acceleration which will be acting in the opposite direction.

01:26 This will be m1.

01:29 Acceleration will be common for both the block.

01:31 If this block comes down and this block plays towards right.

01:37 Now coming to the block 2, that is box 2, the weight of the box 2 will be acting in the vertically downward direction that is m2 into the d and the tension in the rope will be acting in the vertically upward direction.

01:50 Since the rope is pausing over a frictionless pulley, the tension remains safe and this will be the kudo -execoration, this will be acting in the vertically upward direction.

02:02 Since the block 2, box 2 is coming down.

02:07 So this is the pre -body diagram for the given question.

02:13 So this is the free body diagram.

02:16 Now coming to the 4 -b, now let us consider the eucliproam of the box 1...

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