First slide

Newton's laws of motion

Question

Three forces are acting on a particle of mass m initially in equilibrium. If the first two forces (R₁ and R₂) are perpendicular to each other and suddenly the third force (R₃) is removed, then the acceleration of the particle is

Moderate

A

$\frac{R_{3}}{m}$
B

$\frac{R_{1} + R_{2}}{m}$
C

$\frac{R_{1} - R_{2}}{m}$
D

$\frac{R_{1}}{m}$

Solution

$a = \frac{\sqrt{R_{1}^{2} + R_{2}^{2}}}{m} = \frac{R_{3}}{m} [∴ R_{3} = \sqrt{R_{1}^{2} + R_{2}^{2}}]$

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