Question

16. Two steel balls A and B are placed inside a right
circular cylinder of diameter 54
cm making
contact at points P, Q and R as shown. The radius
ra = 12 cm and rb
18 cm. The masses are ma
15 kg and 60 kg. The forces exerted by the floor at
the point Q and the wall at R are, respectively
(taking g= 10 m/s?)
54 cm
(a) 600 N, 150 N
(c) 600 N, 200 N
(b) 750 N, 150 N
d) 750 N, 200 N​

Answer 1

☆ Answer ☆

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• Two steel balls A and B are placed inside a right circular cylinder of diameter 54cm making contact at points P, Q and R as shown.
• The radius ra = 12 cm and rb 18 cm. The masses are ma 15 kg and 60 kg.

Have to Find :-

• The forces exerted by the floor at the point Q and the wall at R .

Solution :-

Now, as from the given, we have

1. Circular cylinder of diameter 54.
2. R(a) = 12 cm and R(b) =18 cm.
3. Mass(a) = 15 kg and Mass(b) = 60 kg.

Therefore ,

Applying the formula,

F(g) =(mass of A ball + mass of B ball) ×g

Here,

F (g) = " Force Exerted "

M(a) = " Mass of the A ball "

M(b) = " Mass of the B ball "

g = " Gravitational Force "

Now, Substituting the values in the above formula, we get

= (60 + 15) × 10 = 750 N

Because the forces acting on the system of two balls are its weight and Normal reactions from floor and wall respectively.

Let's consider the force exerted by floor be " N " Newton.

Force according to the direction be

Force of upward = N

Force of downward = 750 N

Reason :- System of two balls is in equilibrium.

Therefore, Upward net force will become 0.

Then,

Force of downward -Force of upward = 0

Force of up = Force of down

F ( Down) = N = 750 N

So, we got the force exerted by the floor at the point of Q is 750 N.

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Answer 2

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Now, Substituting the values in the above formula, we get

= (60 + 15) × 10 = 750 N

Because the forces acting on the system of two balls are its weight and Normal reactions from floor and wall respectively.

Let's consider the force exerted by floor be " N " Newton.

Force according to the direction be

Force of upward = N

Force of downward = 750 N Ans.