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QAIPMT-2008-Ph-2255: NEET 2008 Physics - Class 11 AIPMT-2008-Ph-2255 Solution: Two simple harmonic motions of angular frequency 100 and…

Two simple harmonic motions of angular frequency 100 and

1000\ \text{rad s}^{-1}

have the same displacement amplitude. The ratio of their maximum acceleration is

1:10^3

1:10^4

1:10

1:10^2

Multiple Choice Options

A ${{\sqrt 3 } \over 4}N$ 4 3 _ _ N
B ${\sqrt 3 }$ 3 _ N
C 0.5 N
D 1.5 N

Step-by-Step Verified Solution

The components of 1N and 2N forces along + x axis = 1 cos 60� + 2 sin 30� = 1 _ 1 2 + 2 _ 1 2 = 1 2 + 1 = 3 2 = 1.5 N The component of 4 N force along � x-axis = 4 sin _ 30 o = 4 _ 1 2 = 2 N Therefore, if a force of 0.5N is applied along + x-axis, the resultant force along x-axis will become zero and the resultant force will be obtained only along y-axis.

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