Question

A wooden block of mass 40kg and dimension 30 cm x 20cm x 10 cm is kept on the table top.Calculate :
(i) the pressure exerted by the wooden block on the table top if it is made to lie on its plane of dimension 30 cm x 10 cm
(ii) ratio of maximum pressure to the minimum pressure exerted by the wooden block on the table top? [Take g = 10 m/s²]

Answer 1

Dear Student ,
Here in this case ,
$$\begin{gathered} Thepressureonthearea30cm\times 10cmis, \\ P=\frac{40\times 10}{300\times {10}^{-4}}=13333.33Pa \\ Nowmaximumpressureis, \\ {P}_{max}=\frac{40\times 10}{30\times 20\times {10}^{-4}}=6666.67Pa \\ Theminimumpressureis, \\ {P}_{min}=\frac{40\times 10}{10\times 20\times {10}^{-4}}=20000Pa \\ Sotheratioofthemaximumtotheminimumpressureis, \\ \frac{P_{max}}{P_{min}}=0.33 \end{gathered}$$
Regards