A small metallic sphere of mass m is suspended from the ceiling of a car accelerating on a horizontal road with constant acceleration a as shown in the figure. The tension in the string attached with the metallic sphere is
A
mg
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B
m(g+a)
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C
m(g−a)
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D
m√g2+a2
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Solution
The correct option is Dm√g2+a2 The given system can be reframed as shown
So, from the figure we have equation of force as Tcosθ=mg ... (i) Tsinθ=ma ... (ii) Square and add (i) and (ii) ⇒T=m√a2+g2