The value of \(M\), as shown, for which the rod will be in equilibrium is:

1. | \(1\) kg | 2. | \(2\) kg |

3. | \(4\) kg | 4. | \(6\) kg |

Subtopic: Â Torque |

Â 87%

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In the figure given below, \(O\) is the centre of an equilateral triangle \(ABC\) and \(\vec{F_{1}} ,\vec F_{2}, \vec F_{3}\) are three forces acting along the sides \(AB\), \(BC\) and \(AC\). What should be the magnitude of \(\vec{F_{3}}\) so that total torque about \(O\) is zero?

1. \(\left|\vec{F_{3}}\right|= \left|\vec{F_{1}}\right|+\left|\vec{F_{2}}\right|\)

2. \(\left|\vec{F_{3}}\right|= \left|\vec{F_{1}}\right|-\left|\vec{F_{2}}\right|\)

3. \(\left|\vec{F_{3}}\right|= \vec{F_{1}}+2\vec{F_{2}}\)

4. Not possible

Subtopic: Â Torque |

Â 81%

From NCERT

AIPMT - 1998

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A wheel with a radius of \(20\) cm has forces applied to it as shown in the figure. The torque produced by the forces of \(4\) N at \(A\), \(8~\)N at \(B\), \(6\) N at \(C\), and \(9~\)N at \(D\), at the angles indicated, is:

1. \(5.4\) N-m anticlockwise

2. \(1.80\) N-m clockwise

3. \(2.0\) N-m clockwise

4. \(3.6\) N-m clockwise

Subtopic: Â Torque |

Â 77%

From NCERT

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A force \(\vec F = \left(2 \hat{i} + 3 \hat{j} + 4 \hat{k} \right) \text{N}\) is acting at point \((2~\text{m}, -3~\text{m}, 6~\text{m}).\)
Find the torque of this force about a point whose position vector is \(\left(2 \hat{i}+ 5\hat {j}+ 3\hat {k}\right) \text{m}\).

1. | \(\vec{\tau}=(-17 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+4 \widehat{\mathrm{k}})\) N-m |

2. | \(\vec{\tau}=(-17 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}-4 \widehat{\mathrm{k}}) \) N-m |

3. | \(\vec{\tau}=(17 \hat{\mathrm{i}}-6 \hat{\mathrm{j}}+4 \widehat{\mathrm{k}})\) N-m |

4. | \(\vec{\tau}=(-41 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+16 \hat{\mathrm{k}})\) N-m |

Subtopic: Â Torque |

Â 67%

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A rod of weight \(w\) is supported by two parallel knife edges, \(A\) and \(B\), and is in equilibrium in a horizontal position. The knives are at a distance \(d\) from each other. The centre of mass of the rod is at a distance \(x \) from \(A\). The normal reaction on \(A\) is:

1. | \(wx \over d\) | 2. | \(wd \over x\) |

3. | \(w(d-x) \over x\) | 4. | \(w(d-x) \over d\) |

Subtopic: Â Torque |

Â 67%

From NCERT

NEET - 2015

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For L = 3.0 m, the total torque about pivot A provided by the forces as shown in the figure is:

1. | 210 Nm | 2. | 140 Nm |

3. | 95 Nm | 4. | 75 Nm |

Subtopic: Â Torque |

Â 59%

From NCERT

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