The elevator E, shown in the figure below, starts from rest and begins moving up

Question

The elevator E, shown in the figure below, starts from rest and begins moving upward with constant acceleration. The counterweight W moves through 9.0m in 5s (relative to the floor) after starting its motion from rest. Determine: the acceleration of cable C (the point indicated on cable C) relative to the floor the acceleration of the elevator E relative to the floor the velocity of the counterweight W relative to the elevator E at the end of the first 5s (NOTE: M is a motor that either winds or unwinds cable C while the system is in motion.)

Explanation / Answer

let acc .of E is a so by the string constraints acc. of w is a & acc. of c is 2a

now find the acc. a by applying newton eq.

s = ut + 1/2*at2

9 = 0.5*a*25

a= 9/12.5

a = 0.72m/s2

a. acc. of c = 1.44 m/s2

b. acc. of E = 0.72 m/s2

c. acc. of w = 0.72 m/s2

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