Question

A blimp is moored to a tower at .A from this blimp is

F = 5i + 3j + 1.8k kn
what is the moment about Axis C on the ground?
knowledge of this moment and other moment at the base is needed to properly design the foundation of the tower.
Hight of tower = 50m
angle = 45°​

Answer 1

Step-by-step explanation:

Force applied over a particle, F=(5i+3j+2k)\ NF=(5i+3j+2k) N

Displacement from its origin, r=(2i-j)\ Nr=(2i−j) N

We know that the dot product of the force and displacement is equal to the amount of work done. Mathematically, it is given by :

W=F.rW=F.r

W=(5i+3j+2k).(2i-j)W=(5i+3j+2k).(2i−j)

We know that, i.i = j.j = k.k = 1

W = 7 joules

So, the work done on the particle is 7 joules. Hence, this is the required solution.

Answer 2

Force applied over a particle, F=(5i+3j+2k)\ NF=(5i+3j+2k) N

Displacement from its origin, r=(2i-j)\ Nr=(2i−j) N

We know that the dot product of the force and displacement is equal to the amount of work done. Mathematically, it is given by :

W=F.rW=F.r

W=(5i+3j+2k).(2i-j)W=(5i+3j+2k).(2i−j)

We know that, i.i = j.j = k.k = 1

W = 7 joules

So, the work done on the particle is 7 joules. Hence, this is the required solution.