An elevator of mass m moving upward has two forces acting on it: the upward forc

Question

An elevator of mass m moving upward has two forces acting on it: the upward force of tension In the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? When the elevator is moving at a constant velocity upward, which is greater, T or w? When the elevator is moving upward, but the acceleration is downward, which is greater, T or w? Let the elevator have a mass of 1,700 kg and an upward acceleration of 2.5 m/s^2. Find T. Is your answer consistent with the answer to part (a)?

Explanation / Answer

(b)
When the accelerator is moving at Constant velocity, Acceleration is 0.
So, T = W

Ans - Both are equal.

(c)
As there is downward acceleration, W - T = m*a
So, W > T

(d)
m = 1700 Kg
a = 2.5 m/s^2

T - W = m*a
T = W + m*a
T = m*g + m*a
T = 1700 * (9.8 + 2.5)
T = 20910 N
Yes

(e)
At Constant Velocity, a = 0
T - W = m*a
T = W
T = 1700 * 9.8
T = 16660 N
Yes

(f)
Now Acceleration is downward , a = - 1.9 m/s^2
T - W = m*a
T = m*a + m*g
T = 1700 (a + g)
T = 1700 * (-1.9 + 9.8)
T = 13430 N
Yes

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