If the total mechanical energy of the system is 100 J: Where does the pendulum have 100 J of kinetic energy? Where does the pend
1 answer:
Answer:
See image and explanation
Explanation:
A simple pendulum consists of a string to which a bulb is attached and the string is tied to a support. The string swings from one end to the other as shown.
At the both ends, the energy of the pendulum is all potential. Hence we have 100J potential energy at both ends.
When the pendulum is in motion, the energy is all kinetic at the center of motion. Hence at that point, we have 100J kinetic energy.
In between both extremes the energy is both kinetic and potential as shown. The total energy is this a summation of the two.
You might be interested in
Answer:
a) 29062.125 N·m
b) 0 N·m
c)
d) T = 11186.02 N
Explanation:
We are given
Beam mass = 1975 kg
Beam length = 3 m
Cable angle = 60° above horizontal
a) We have the formula for torque given as follows;
Torque about the pin = Force × Perpendicular distance of force from pin
Where the force = Force due to gravity or weight, we have
Weight = Mass × Acceleration due to gravity = 1975 × 9.81 = 19374.75 N
Point of action of force = Midpoint for a uniform beam = length/2
∴ Point of action of force = 3/2 = 1.5 m
Torque due to gravity = 19374.75 N × 1.5 m = 29062.125 N·m
b) Torque about the pinned end due to the contact forces between the pin and the beam is given by the following relation;
Since the distance from pin to the contact forces between the pin and the beam is 0, the torque which is force multiplied by perpendicular distance is also 0 N·m
c) To find the expression for the tension force, T we find the sum of the moment forces about the pin as follows
Sum of moments about p is given as follows
∑M = 0 gives;
T·sin(θ) × L= M×L/2×g
Therefore torque due to tension is given by the following expression
d) Plugging in the values in the torque due to tension equation, we have;
Therefore, we make the tension force, T the subject of the formula hence