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CBSE Class 11-science Answered

If y = Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. sinwt - Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. coswt, show it represents SHM. Find the amplitude and the length of the path.
Asked by Topperlearning User | 15 May, 2015, 10:51: AM
answered-by-expert Expert Answer

y = Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. sinwt - Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. cos wt .........................(i)

Put Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. = r cosSyntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. and Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. = r sinSyntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.

Squaring and adding, we have, a + b = r2

or |r| = Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.

Therefore, y = r sinwt cosSyntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. - rsinSyntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.coswt

or y = r sin (wt- Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.)     ...........................(ii)

This represents the motion of a harmonic oscillator

Amplitude of motion = r = y = Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.

Length of the path = 2r = 2Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.

Answered by | 15 May, 2015, 12:51: PM

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