a body of mass 20 kg suspended from a rigid support is rotated on a cylinder of d=20cm calculate moment of force above the axis of cylinder
To calculate the moment of force above the axis of the cylinder, we can use the equation:
Moment of Force = Force × Distance
First, we need to determine the force acting on the body. In this case, the force is the weight of the body, which can be calculated using the formula:
Weight = Mass × Acceleration due to gravity
Where the mass of the body is given as 20 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 20 kg × 9.8 m/s^2 = 196 N
Next, we need to determine the distance from the axis of the cylinder. The problem states that the diameter (d) of the cylinder is 20 cm. The radius (r) of the cylinder can be calculated by dividing the diameter by 2:
r = d/2 = 20 cm / 2 = 10 cm = 0.1 m
Since the body is suspended from a rigid support, the distance from the axis of rotation to the body is equal to the radius of the cylinder.
Distance = Radius = 0.1 m
Finally, we can calculate the moment of force using the formula:
Moment of Force = Force × Distance
Moment of Force = 196 N × 0.1 m = 19.6 Nm
Therefore, the moment of force above the axis of the cylinder is 19.6 Nm.