Questions
A uniform thin rod of mass m and length l is bent into a semicircle. Gravitational field intensity at the centre O is :
detailed solution
Correct option is C
Let the mass per unit length of the wire be λ=ml=mπR, where R is the radius of the circle.Thus horizontal components of the gravitational field intensity at the center cancel each other.The vertical component of the same = ∫−π/2π/2 G(λRdθ)R2cosθ=2GmπR2=2πGml2Talk to our academic expert!
Similar Questions
A uniform ring of mass M and radius r is placed directly above a uniform sphere of mass 8 M and of same radius R. The centre of the ring is at a distance of d = R from the centre of the sphere. The gravitational attraction between the sphere and the ring is
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