A 3-meter long cantilever weighing 80 N·m−1 carries an end load of 0.9 kN. What is the total clockwise moment applied to the beam? (You must provide an answer before moving to the next part.) The total clockwise moment applied to the beam is N·m.

3060 N-m

Explanation:

length of the cantilever = 3 m

weight of the cantilever = 80 kN/m

End load carried P = 0.9 kN = 900 N

The total weight of the cantilever = (weight per meter) x (length)

total weight W = 80 x 3 = 240 N

This total weight is assumed to act at the center of the cantilever at point 1.5 m from the end of the cantilever

The cantilever is fixed at one end.

Moment about a point = Weight x ⊥d

where

⊥d is the perpendicular distance from the hinged point to the point where the weight acts

In this case, the hinged point is from the fixed end of the beam.

Perpendicular distance between the load P to the hinged point = 3 m

The total clockwise moment on the beam will be due to the weight of the beam acting at the center, and the weight at the end of the beam.

M = (W x 1.5) + (P x 3)

M = (240 x 1.5) + (900 x 3)

M = 360 + 2700

M = 3060 N-m

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.