Explanation and answer:
This problem is best answered by drawing a figure as a first step.
ABC is the scaffold.
A downward force of 500N is applied downwards at 1m from end A.
The weight of 800N is exerted by the scaffold uniformly distributed between A & C.
At A and C, ropes are attached to support the load.
Let Fc=tension in rope passing through C.
Take moments about A:
Fc = (500N * 1m +800N*(3+1)/2m / 4m
= (500 Nm + 1600Nm) / 4m
= 2100 Nm / 4m
= 525 N
Answer:
This conveyor belt should be connected to fixed pulleys in case their total effort is less than the load. But if it's not that, the belt should be connected to movable pulleys.
Explanation:
As the room becomes warmer, the temperature of the thermistor will increase as well. The resistance of thermistors reduces when their temperature increases; thus, the current to the motor will increase and the fan will run faster when temperature is increased.
Answer:
143975.31 N/m
Explanation:
Hook's law: Hook's law states that the force applied to an elastic material is directly proportional to its extension, provided that the elastic limit is not exceeded.
From Hook's law,
F = ke................... Equation 1
Where F = applied force, k = spring constant, e = extension/depression.
Make k the subject of the equation,
k = F/e ................. Equation 2
From the question,
The weight acting on the bathroom scale is the same as the applied force.
F = mg................ Equation 3
Substitute equation 3 into equation 2
k = mg/e ............. Equation 4
Given: m = 119 kg, e = 0.81 cm = 0.0081 m.
Constant: g = 9.8 m/s²
Substitute into equation 4
k = 119(9.8)/(0.0081)
k = 143975.31 N/m.
Hence the effective spring constant = 143975.31 N/m
The object move in the direction of the stronger force