Find the acute angle between the relative velocity found in part (b) and the vector \(\mathbf { i }\), giving your answer in degrees correct to 1 decimal place.
(2 marks)
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\caption{Fig. 1}
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Figure 1 shows a uniform plank \(A B\) of length 8 m and mass 30 kg . It is supported in a horizontal position by two pivots, one situated at \(A\) and the other 2 m from \(B\). A man whose mass is 80 kg is standing on the plank 2 m from \(A\) when his dog steps onto the plank at \(B\).
Given that the plank remains in equilibrium and that the magnitude of the forces exerted by each of the pivots on the plank are equal,