The point A moves with a uniform speed along the circumference of a circle of radius 0.36m and covers 30° in 0.1s. The perpendicular projection ‘P’ from ‘A’ n the diameter MN represents the simple harmonic motion of ‘P’. The restoration force per unit mass when P touches M will be
As we know that maximum acceleration will act on the particle when it is at extreme position .
<p>As we know that maximum acceleration will act on the particle when it is at extreme position .</p><p><math><mrow><mi>ω</mi><mo>=</mo><mfrac><mrow><mfrac><mrow><mi>π</mi></mrow><mrow><mn>6</mn></mrow></mfrac></mrow><mrow><mn>0</mn><mo>.</mo><mn>1</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>1</mn><mn>0</mn><mi>π</mi></mrow><mrow><mn>6</mn></mrow></mfrac></mrow></math></p><p><math><mrow><mi>f</mi><mo>=</mo><mi>m</mi><msup><mrow><mi>ω</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>x</mi></mrow></math></p><p><math><mrow><mfrac><mrow><mi>f</mi></mrow><mrow><mi>m</mi></mrow></mfrac><mo>=</mo><msup><mrow><mi>ω</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>A</mi><mo>=</mo><mfrac><mrow><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn><msup><mrow><mi>π</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>3</mn><mn>6</mn></mrow></mfrac><mo>×</mo><mn>0</mn><mo>.</mo><mn>3</mn><mn>6</mn><mo>=</mo><msup><mrow><mi>π</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>9</mn><mo>.</mo><mn>8</mn><mn>7</mn><mtext> </mtext><mi>N</mi></mrow></math></p>
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