Two bodies of masses m₁ = 5kg and m₂ = 3kg are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass m₁ will be: [Take g = 10 ms^-2]

<p>m₁ = 5kg</p><p>m₂ = 3kg</p><p>As m₁ is in rest</p><p>T = m_gg = 30</p><p>N = m₁ g cos</p><p>T =&nbsp;<math><mrow><msub><mrow><mi>m</mi></mrow><mrow><mn>1</mn></mrow></msub><mi>g</mi><mi>s</mi><mi>i</mi><mi>n</mi><mi>θ</mi><mo>⇒</mo><mn>5</mn><mn>0</mn><mi>s</mi><mi>i</mi><mi>n</mi><mi>θ</mi><mo>=</mo><mn>3</mn><mn>0</mn></mrow></math></p><p>sin&nbsp;<math><mrow><mo>=</mo><mfrac bevelled="true"><mrow><mn>3</mn></mrow><mrow><mn>5</mn></mrow></mfrac><mo>⇒</mo><mi>θ</mi><mo>=</mo><mn>3</mn><mn>7</mn><mo>°</mo></mrow></math></p><p><math><mrow><mo>∴</mo><mi>N</mi><mo>=</mo><mn>5</mn><mn>0</mn><mi>c</mi><mi>o</mi><mi>s</mi><mi>θ</mi><mo>=</mo><mn>5</mn><mn>0</mn><mi>c</mi><mi>o</mi><mi>s</mi><mn>3</mn><mn>7</mn><mo>°</mo><mo>=</mo><mn>5</mn><mn>0</mn><mo>×</mo><mfrac><mrow><mn>4</mn></mrow><mrow><mn>5</mn></mrow></mfrac><mo>=</mo><mn>4</mn><mn>0</mn><mi>N</mi></mrow></math></p>

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