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States of Equilibrium

i Define equi...

Question

$(i)$ Define equilibrium.
$(i i)$ In a beam balance when the beam is balanced in a horizontal position, it is in .................. equilibrium.

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Solution

$(i)$ When a number of forces acting on a body produce no change in its state of rest or of the motion, the body is said to be in equilibrium.
$(i i)$ Static equilibrium.

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Q. A small coil C with N = 200 turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in figure. The cross sectional area of coil is

A = 1.0 c m^{2}

, length of arm OA of the balance beam is When there is no current in the coil the balance is in equilibrium. On passing a current I = 22 mA through the coil the equilibrium is restored by putting the additional counter weight of mass

Δ m = 60 m g

on the balance pan. Find the magnetic induction at the spot where coil is located.

Q. A small coil C with

N = 200

turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in fig. The area of the coil is

S = 1 c m^{2}

, the length of the right arm of the balance beam is

l = 30 c m

. When there is no current in the coil the balance is in equilibrium. On passing a current

I = 22 m A

through the coil, equilibrium is restored by putting an additional weight of mass

m = 60

mg on the balance pan. Find the magnetic induction field (in terms of

\times 10^{- 1} T)

between the poles of the electromagnet, assuming it to be uniform :

Q. A body weighs

9 g

when placed in one pan of a faulty balance. It weighs

16 g

when placed in the other pan of the same balance. If the beam remains horizontal when the pans are empty, what is the true weight of the body?

Q. A small coil

C

N = 200

turns is mounted on one end of a balance beam and introduced between the poles of an electro-magnet as shown in figure above. The cross-sectional area of the coil is

S = 1.0 c m^{2}

, the length of the arm

O A

of the balance beam is

l = 30 c m

. When there is no current in the coil the balance is in equilibrium. On passing a current

I = 22 m A

through the coil the equilibrium is restored by putting the additional counterweight of mass

Δ m = 60 m g

on the balance pan. The magnetic induction at the spot where the coil is located is given as

\frac{x}{10} T

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