state forces each of magnitude 10N act in opposite direction at table is 50cm,calculate the moment acting on the table.
To calculate the moment acting on the table, you need to multiply the force by the perpendicular distance between the force and the point of rotation (in this case, the table).
In this scenario, there are two forces of magnitude 10N acting in opposite directions. Let's assume they are both perpendicular to the table.
Given:
Force 1: 10N
Force 2: 10N
To calculate the moment, you need to find the perpendicular distance between the forces and the table. In this case, you mentioned that the perpendicular distance is 50cm. However, it's important to note that distances for calculations should always be in meters instead of centimeters. So, we need to convert 50 cm to meters.
1 meter = 100 centimeters
50 cm = 50/100 = 0.5 meter
Now that we have the distance in meters, we can calculate the moment:
Moment = Force x Distance
Moment = (10N x 0.5m) + (-10N x 0.5m) (taking the direction of the forces into account)
Moment = (5 Nm) + (-5 Nm)
Moment = 0 Nm
The moment acting on the table is 0 Nm. This means that the total clockwise moment (due to the first force) is canceled out by the total counterclockwise moment (due to the second force), resulting in no net moment acting on the table.