Question

Чему равен модуль суммарного момента двух сил F1=1H и F2=2H, приложенных в точке А к диску радиусом 1 м, вращающемуся относительно оси О? Ответ:______H*м

Answer 1

M=Fd
M1+M2=(1+2)1=3 H*M

Answer 2

Calculation of the Total Moment

To calculate the total moment of two forces, F1 and F2, applied at point A to a disk with a radius of 1 meter, rotating around axis O, we can use the formula:

M = F * l

Where: - M is the total moment - F is the force - l is the lever arm or perpendicular distance from the point of rotation to the line of action of the force

In this case, we have F1 = 1H and F2 = 2H. The radius of the disk is 1 meter.

To find the total moment, we need to calculate the lever arm for each force and then sum them up.

Calculation of the Lever Arm for F1

The lever arm for force F1 can be calculated as the perpendicular distance from point A to the line of action of force F1. Since the disk is rotating around axis O, the lever arm for F1 is equal to the radius of the disk, which is 1 meter.

Calculation of the Lever Arm for F2

The lever arm for force F2 can also be calculated as the perpendicular distance from point A to the line of action of force F2. Since the disk is rotating around axis O, the lever arm for F2 is also equal to the radius of the disk, which is 1 meter.

Calculation of the Total Moment

Now that we have the lever arms for both forces, we can calculate the total moment by multiplying each force by its respective lever arm and then summing them up.

For F1: M1 = F1 * l1 = 1H * 1m = 1H*m

For F2: M2 = F2 * l2 = 2H * 1m = 2H*m

The total moment, M, is the sum of M1 and M2: M = M1 + M2 = 1H*m + 2H*m = 3H*m

Therefore, the modulus of the total moment of the two forces, F1 = 1H and F2 = 2H, applied at point A to the disk rotating around axis O, is 3H*m.