Question

find out the acceleration and tension force in the string​

Answer 1

Answer:

Tension force in the string is  20 N and acceleration is 4 m/s²

Explanation:

Given: Two masses 3 kg and 5 kg suspended with a string on a pulley system.

To find: Tension in the string and acceleration.

Solution: Since mass 5 kg is relatively more than the mass 3 kg, the system experiences a downwards acceleration through 5 kg mass. The net mass in which case is 5 - 3 kg i.e. 2 kg.

Let us draw the free body diagram of mass 3 kg. We have: (Refer to attached image 1)

                          T = mg

                          T = 3 × 10 (say g = 10 m/s²)

                          T = 30 N

We then draw the free body diagram of mass 5 kg. We have: (Refer to attached image 2)

                          T' = mg

                          T' = 5 × 10

                          T' = 50 N

Now, the net tension in the string is:

                    Tnet = T' - T

                    Tnet = 50 - 30

                   Tnet = 20 N

Now, calculating the acceleration with which the mass moves downward:

∵                  F = ma

                  20 N = 5 × a

                  20/ 5 = a

                      a = 4 m/s²

Hence, the net tension in the string is 20 N and acceleration is 4 m/s².