00:01
An elevator has a mass of 1000 kg, it accelerates upward at 3 m per second squared.
00:07
What is the force t exerted by the cable on the elevator? first of all let's draw the free body diagram of the elevator when it's moving upward.
00:19
T is the force exerted on the elevator by the cable and w is the weight force and a is the acceleration.
00:31
It's been said that a is equal to 3 m per second squared and the mass of the elevator is equal to 1000 kg.
00:47
When the elevator is moving upward it is evident that the force exerted by the cable is making the elevator to move upward and the weight force is the force that resists against the movement of the elevator.
01:14
According to newton's second law of motion which states that the resultant of all forces acting on a body is equal to the mass of the body times its acceleration, we can write t minus w is equal to ma in which w is equal to mg in which g is the gravity which is approximately equal to 10 m per second squared.
02:09
So this equation can be written as t minus mg equals ma.
02:15
Taking mg term to the right side of the equation we will have t equals ma plus mg and factoring out the m term we will have m times g plus a...