A uniform stone lintel $A B$ , of length $10$ metres, rests horizontally in equilibrium on two smooth temporary supports at points $P$ and $Q$ . The distance $A P$ is $2$ metres and the distance $B Q$ is $3$ metres.

The reaction force on the lintel at $P$ is $8 g$ newtons.

(i) Show that the mass of the lintel is $20$ kilograms.

(ii) Find the reaction force, in terms of $g$ , on the lintel at $Q$ .

The support at $Q$ is moved so that the distance $B Q = 2$ metres. The lintel remains horizontally at rest in equilibrium. A worker claims that the reaction force at $Q$ remains unchanged. Explain, with a reason, whether this claim is correct.

The reaction force on the lintel at $P$ is $8 g$ newtons.

(i) Show that the mass of the lintel is $20$ kilograms.

(ii) Find the reaction force, in terms of $g$ , on the lintel at $Q$ .

4 Unit A2 2: Applied Mathematics (A-level only)

Question 208

Markscheme

4 Unit A2 2: Applied Mathematics (A-level only)

Question 208

Markscheme

4 Unit A2 2: Applied Mathematics (A-level only)

Question 208

4 Unit A2 2: Applied Mathematics (A-level only) Questions

4 Unit A2 2: Applied Mathematics (A-level only)

Question 208

4 Unit A2 2: Applied Mathematics (A-level only) Questions