The tension in the string revolving in a vertical circle with a mass m at the end which is at the lowest position is:
A
rmv2
B
rmv2−mg
C
rmv2+mg
D
mg
Step-by-Step Solution
Identify Forces: At the lowest point of a vertical circle, the forces acting on the mass m are the tension (T) in the string acting upwards (towards the center) and the gravitational force (mg) acting vertically downwards.
Newton's Second Law: The net radial force towards the center provides the necessary centripetal force (Fc=rmv2) to maintain the circular path.
Fnet=T−mg
Equation of Motion: Equating the net force to the centripetal force:
T−mg=rmv2
Solve for Tension:T=rmv2+mg
[Source 75]
Practice Mode Available
Master this Topic on Sushrut
Join thousands of students and practice with AI-generated mock tests.