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Torque and Equilibrium · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A force of \(20\,\text{N}\) acts at right angles to a door, \(0.4\,\text{m}\) from its hinge. The torque about the hinge is

2

A force acts on a body along a line that passes through the axis of rotation. Its torque about that axis is

3

A spanner is gripped \(0.3\,\text{m}\) from a nut, and a force of \(50\,\text{N}\) acts there at \(30°\) to the handle. The moment arm of the force about the nut is

4

A force \(\vec F = 4\hat i\,\text{N}\) acts at the point \(\vec r = 2\hat j\,\text{m}\). Its torque about the origin is

5

Two equal and opposite forces act on a wheel along parallel lines a distance \(d\) apart. Which statement is correct?

6

A \(20\,\text{kg}\) child sits \(2\,\text{m}\) from the pivot of a see-saw. For balance, a \(40\,\text{kg}\) adult on the other side must sit at

7

Parallel forces of \(20\,\text{N}\) and \(30\,\text{N}\) act in the same direction along lines \(1\,\text{m}\) apart. Their resultant acts at a distance from the \(20\,\text{N}\) force of

8

A tall box stands on a floor. It topples when

9

A uniform block with width \(b\) and height \(h\) such that \(b/h = 0.5\) rests on a board with \(\mu_s = 0.4\). The board is tilted slowly. The block

10

A uniform ladder leans at \(45°\) against a smooth wall. The least coefficient of friction at the floor that holds it is