Uniform Circular Motion

Practice Questions:

Question 1: moderate

Find ratio of Normal reaction of blocks. At point A & point B respectively if their masses are same and velocities are 2 m/s & 4 m/s respectively :

1. 4/9

2. 9/4

3. 2/9

4. 2/7

View Answer

Centrifugal Force act radially outwards,

So, N _A = mg - mv²/R = m(10) - m(2)²/2= 8m

So, N _B = mg + mv²/R = m(10) +m(4)²/2= 18m

N _A : N _B = 4 : 9

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Question 2: moderate

Two stones of masses m and 2 m are whirled in horizontal circles, the heavier one in a radius r/2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is :

1. 1

2. 2

3. 3

4. 4

View Answer

m(nω)²×r = 2m(ω)² ×(r/2)

so, n =1

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