Calculate the mass of a thin rod of length L whose mass distribution is uniform throughout, with linear mass density λ0.
λ0L
λ0L2
λ0L3
None of these
Using dm=λ0dx, mass of the rod =∫M0 dm=∫L0 λ0dx⇒M=λ0L
Calculate the mass of a ring with linear mass distribution λ=λ0 sin2θ as shown in diagram. λ0 = density at θ=90∘.
The linear density of a rod of length ‘L’ at a distance ‘x’ from one end is given by calculate the mass of rod, given λ0 is the density of the rod at x = 0.