A 20 gm particle is subjected to two simple harmonic motions x 1 -2sin t- x 2 -4sin 10- 3 - where x 1 and x 2 are in metre t is sec-

The correct options are A The displacement of the particle at t = 0 will be 2√( 3 ) m B Maximum speed of the particle will be 20√( 7 ) D Energy of t ...

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Byju's Answer

Standard XII

Physics

Work Done in Collision

A 20 gm parti...

Question

A 20 gm particle is subjected to two simple harmonic motions $x_{1} = 2 s i n t$ ; $x_{2} = 4 s i n (10 + \frac{π}{3})$ , where $x_{1}$ and $x_{2}$ are in metre & t is sec.

The displacement of the particle at t = 0 will be

2 \sqrt{3} m

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Maximum speed of the particle will be

20 \sqrt{7}

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Magnitude of maximum acceleration of the particle will be

200 \sqrt{7} m / s^{2}

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Energy of the resultant motion will be 28 J

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Solution

The correct options are
A The displacement of the particle at t = 0 will be $2 \sqrt{3} m$
B Maximum speed of the particle will be $20 \sqrt{7}$
D Energy of the resultant motion will be 28 J

Suggest Corrections

Similar questions

Q. A

20 g m

particle is subjected to two simple harmonic motions,

x_{1} = 2 sin 10 t

;

x_{2} = 4 sin (10 t + \frac{π}{3}) .

Where

x_{1} & x_{2}

are in metre

&

t

is in sec.

Q. A 20 gm particle is subjected to two simple harmonic motions

x_{1} = 2 s i n 10 t

and

x_{2} = 4 s i n (10 t + \frac{π}{3})

, where

x_{1}

and

x_{2}

are in meter & t is in sec

Q. A

20 g m

particle is subjected to two simple harmonic motions,

x_{1} = 2 sin 10 t

;

x_{2} = 4 sin (10 t + \frac{π}{3}) .

Where

x_{1} & x_{2}

are in metre

&

t

is in sec.

Q. A

20 g m

particle is subjected to two simple harmonic motions

x_{1} = 2 sin 10 t, x_{2} = 4 sin (10 t + \frac{π}{3})

. Where

x_{1}

and

x_{2}

are in metre and t is in sec

A particle is subjected to two simple harmonic motions given as $x_{1} = A_{1} s i n ω t$ and $x_{2} = A_{2} s i n (ω t + \frac{π}{3})$

Find A. the displacement at t = 0

B. the maximum speed of the particle and

C. the maximum acceleration of the particle

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A 20 gm particle is subjected to two simple harmonic motions x1=2sint; x2=4sin(10+π3), where x1 and x2 are in metre & t is sec.

The correct options are A The displacement of the particle at t = 0 will be 2√3m B Maximum speed of the particle will be 20√7 D Energy of the resultant motion will be 28 J

A 20 gm particle is subjected to two simple harmonic motions $x_{1} = 2 s i n t$ ; $x_{2} = 4 s i n (10 + \frac{π}{3})$ , where $x_{1}$ and $x_{2}$ are in metre & t is sec.

The correct options are
A The displacement of the particle at t = 0 will be $2 \sqrt{3} m$
B Maximum speed of the particle will be $20 \sqrt{7}$
D Energy of the resultant motion will be 28 J