Physics, asked by nawaz6294, 5 months ago

A body m1 of mass 10 kg is placed on a frictionless horizontal table. It is connected to a string which passes

over a frictionless pulley and carries at the other end a body m2 of mass 5 kg. What acceleration will be

produced in the bodies? What will be the tension in the string during the motion of body?

Answers

Answered by Rameshjangid

Answer: Acceleration=3.27m/s

Tension=49N

Given: Mass of body = 10Kg

Mass of another body = 5kg

To find: Tension in the string

Solution:

When the nail fixed on the table is removed the system of two bodies moves with acceleration (a) in the direction.

According to Newton s 2nd law,

$a=\frac{m_{2}g }{m_{1}+m_{2} } = \frac{5 * 9.8}{10.5} = 3.27 m/s^{2} \\$

Also, $T = m_{1} * a = 10*3.27 = 32.7N$

Suppose tension in the string becomes T when the bodies stop In this position acceleration, a= 0 . therefore, the net force on each body is zero. For the body $m_{2}$ .

We may write,

$T = m_{2}g = 5*9.8 = 49N$

Important definition,

Force: Force is an important concept that affects movement. It can be defined as an interaction that modifies the motion of an object when no resistance occurs. But a simple definition of force is the push or pull experienced by an object. Force is a vector quantity, so it has magnitude and direction. Therefore, to describe a force acting on a body, both direction and magnitude must be specified.