First slide

Pseudo force

Question

wo wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to block of mass M as shown in the figure. The magnitude of force P is

Moderate

A

$(M + m) gtan β$
B

$g \tan β$
C

$mgcos β$
D

$(M + m) gcosec β$

Solution

The block will be at rest if
$m a \cos θ = mgsin θ \Rightarrow \begin{array}{l} a = gtan θ \Rightarrow a = gtan β \\ ∵ θ = β \\ ∴ P = (M + m) a = (M + m) gtan β \end{array}$

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