How to solve this ??
A straight rod of length #L# extends from #x = 0# to #x = L# . The linear mass density of the rod varies with x co-ordinate is #lambda = a_"o" + b_"o"x^2# . The gravitational force experienced by a point mass #m# at #x = -a# , is ??
A straight rod of length
1 Answer
Dec 22, 2017
F =
Explanation:
Newton's gravitational force between the point mass m at x=a and the mass of any given point (dm') on the the linear rod is
dm' =
r = x-(-a)= x+a is the distance separating m and dm'
Hence,
since there are infinite many points between x=0 and x=a,
you will have to integrate it. Ask help from the Calculus section if you need help integrating it.