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 |
In the figure given below, O is the centre of an equilateral triangle ABC and are three forces acting along the sides AB, BC and AC. What should be the magnitude of so that total torque about O is zero?
1.
2.
3.
4. Not possible
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, 8N at B, 6 N at C, and 9N 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
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 |
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. | \(w(d-x) \over d\) |
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 |