If a 6kg ball is hanging by a rope from the ceiling at rest, what is the tension of the rope?
1 answer:
Answer:
58.8 N
Explanation:
Since the ball is hanging at rest, the net force on the ball must be zero.
There are only two forces acting on the rope:
- Its weight, downward, given by W = mg, where m = 6 kg is the mass of the ball and g=9.8 m/s^2 is the acceleration due to gravity
- the tension in the rope, T, upward
Therefore, the equation for the forces is:
And solving for T, we find:
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Answer:
a. 37.75°
b. 6.21 m
Explanation:
a. The horizontal force acting on a pendulum bob is given as:
F = mgsinθ
where m = mass of bob
g = acceleration due to gravity
θ = angle string makes with the vertical or angle of displacement
Making θ subject of formula, we have:
θ =
θ =
θ = 37.75°
The maximum angle of displacement is 37.75°
b. Period of a pendulum is given as:
where L = length of string
Therefore, making L subject of formula:
The string holding the pendulum has to be 6.21 m long.