two forces each of magnitude 10newton act in opposite direction at the end of the table if the length of the table is 50centimeter calculate.The resultant force and moment acting
To calculate the resultant force, we can add the magnitudes of the two forces since they are acting in opposite directions. The resultant force is given by:
Resultant force = Force 1 + Force 2
In this case, Force 1 and Force 2 are both 10 Newtons. Thus,
Resultant force = 10 N + 10 N
Resultant force = 20 Newtons
To calculate the moment, we need to consider the distance of each force from a reference point. The moment is the product of the force and the distance from the reference point. However, since you haven't mentioned a reference point, I will assume you want to calculate the moment about the center of the table.
To calculate the moment, we can use the equation:
Moment = Force x Distance
Here, the distance is the length of the table divided by 2, as the forces are acting at the ends of the table.
Distance = Length of the table / 2
Distance = 50 cm / 2
Distance = 25 cm = 0.25 m (since 1 cm = 0.01 m)
Now we can calculate the moment:
Moment = Force x Distance
Moment = 10 N x 0.25 m
Moment = 2.5 Newton-meters (Nm)
Therefore, the resultant force is 20 Newtons and the moment acting about the center of the table is 2.5 Newton-meters.