A rope of length l and mass m is hanging from a rigid support.the tension in the role at a distance x from the rigid support is
Answers
Answer:
The tension in the string at a distance x is (L-x) × Mg / L
Explanation:
Given: Length of rope = L
Distance at which tension to find = x
Mass of rope = M
To find: Tension in the rope at a distance x
Solution: Since the specific values of the arrangement aren't mentioned, we assume the case to be same as shown in the attachment. Refer to the attachment.
We apply unitary method for finding Mass. So:
Length Mass
L units M
1 unit M/L
(L-x) unit (L-x) M/L
So, for the length (L-x) we have mass as (L-x)M/L .
Since, Tension, t = mg
Hence, t = (L-x)M/L × g
Therefore, the tension in the rope at a distance x from the rigid support is (L-x)M/L × g.