Question 2. The crate S is being lifted by a man moving to the right with consta

Question

Question 2. The crate S is being lifted by a man moving to the right with

constant speed of 0.50m/s. Determine the velocity and acceleration of the safe

when it reaches the opening at E. The rope is 30m long and passes over a frictionless pulley at D.

E is 10m from the ground D is 15m from the ground.

The crate S is being lifted by a man moving to the right with constant speed of 0.50m/s. Determine the velocity and acceleration of the safe when it reaches the opening at E. The rope is 30m long and passes over a frictionless pulley at D. E is 10m from the ground D is 15m from the ground.

Explanation / Answer

from figure ...

x^2=25^2-15^2=400m...

x=20m.....

time taken to move 20 m along X-axis is t=20/0.5=40 sec......

in 40 sec along Y-axis

y=ut+(1/2) a*t^2....

here u=o m/s....

10=(1/2)*a*1600.......

accelaration a=10/800 =0.0125 m/s^2......

velocity =a*t=0.0125*40 =0.5 m/sec

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