A small metallic sphere of mass m is suspended from the ceiling of a car accelerating on a horizontal road with constant acceleration a. The tension in the string attached with metallic sphere is

Question

A small metallic sphere of mass m is suspended from the ceiling of a car accelerating on a horizontal road with constant acceleration a. The tension in the string attached with metallic sphere is (A) mg (B) m(g+a) (C) m(g-a) (D) m √g2+a2

Tardigrade Admin · Accepted Answer

T cos θ=m g ...(i) T sin θ=m a ...(ii) Square and add (i) and (ii) T=m √a2+g2

Q. A small metallic sphere of mass $m$ is suspended from the ceiling of a car accelerating on a horizontal road with constant acceleration $a$ . The tension in the string attached with metallic sphere is

$m g$

$m (g + a)$

$m (g - a)$

$m g^{2} + a^{2}$

$T cos θ = m g$ ...(i)
$T sin θ = ma$ ...(ii)
Square and add (i) and (ii)
$T = m a^{2} + g^{2}$

Q. A small metallic sphere of mass m is suspended from the ceiling of a car accelerating on a horizontal road with constant acceleration a. The tension in the string attached with metallic sphere is

mg

m(g+a)

m(g−a)

mg2+a2​