A mass m is placed on a wedge (triangular block) of mass M. The wedge moves on a smooth horizontal surface what should be the force F applied on the wedge to the right, so that m remains stationary with respect to wedge. (Ignore any friction)

Question

A mass m is placed on a wedge (triangular block) of mass M. The wedge moves on a smooth horizontal surface what should be the force F applied on the wedge to the right, so that m remains stationary with respect to wedge. (Ignore any friction) (A) g tan θ (B) m g cos θ (C) (M +m) g tan θ (D) (M +m) g textcosec θ

Tardigrade Admin · Accepted Answer

From figure, m g sin θ=m a cos θ <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/adca2b60486cddcf2cd130915c172940-.png" /> ⇒ a=g tan θ ∴ Force, F =(M +m) a=(M +m) g tan θ

Q. A mass $m$ is placed on a wedge (triangular block) of mass $M$ . The wedge moves on a smooth horizontal surface what should be the force $F$ applied on the wedge to the right, so that $m$ remains stationary with respect to wedge. (Ignore any friction)

$g tan θ$

$m g cos θ$

$(M + m) g tan θ$

$(M + m) g cosec θ$

From figure, $m g sin θ = ma cos θ$

$\Rightarrow a = g tan θ$
$∴$ Force, $F = (M + m) a = (M + m) g tan θ$

Q. A mass m is placed on a wedge (triangular block) of mass M. The wedge moves on a smooth horizontal surface what should be the force F applied on the wedge to the right, so that m remains stationary with respect to wedge. (Ignore any friction)

gtanθ

mgcosθ

(M+m)gtanθ

(M+m)gcosecθ