Question

M

Q.11 The system shown in the fig. is in equilibrium.

Pulleys A and B have mass M each and the block

C has mass 2M. The strings are light. There is an

insect (D) of mass M/2 sitting at the middle or the

right string. Insect does not move.

C

D

S1

A

E

S2​

Answer 1

Answer:

M

Q.11 The system shown in the fig. is in equilibrium.

Pulleys A and B have mass M each and the block

C has mass 2M. The strings are light. There is an

insect (D) of mass M/2 sitting at the middle or the

right string. Insect does not move.

C

D

S1

A

E

S2

Answer 2

Answer:

The tension in the string S1 is more than 9/2 Mg and tension in the string S1 and S2 is 5 Mg and Mg/2.Insect flies and sits at point E on the string S2 is Mg/7

Explanation:

Pulley equilibrium

A frictionless pulley must be crossed by a continuous cable with a constant tension force. The cable's direction is always where the tension force is pointed

For a frictionless pulley in static equilibrium, the tension in the cable is the same on both sides of the pulley.

• Pulleys A and B have mass M each and the block C has mass 2M.
• The strings are light
• There is an insect (D) of mass M/2 sitting at the middle or the right string.
• Insect does not move.

We have to determine,

Just by inspection, say if the tension in the string S1 is equal to, more than or less than 9/2 Mg.

By the inspection tension in the string S1 is more than 9/2 Mg

Find the tension in the string S2, and S1.

Tension in the string S1 = 5 Mg

Tension in the string S2 = Mg/2

Find tension in S2 if the insect flies and sits at point E on the string

Tension in S2 = Mg/7

Final answer:

The tension in the string S1 is more than 9/2 Mg and tension in the string S1 and S2 is 5 Mg and Mg/2.Insect flies and sits at point E on the string S2 is Mg/7

SPJ3