Question

Problem 5.23 At a construction site, a 15.0-kg bucket of concrete is connected over a very light frictionless pulley to a 375-N box on the roof of a building. (Figure 1) There is no appreciable friction on the box, since it is on roller bearings. The box starts from rest.

Answer 1

M mass of bucket m= 1500 kg macs o box 375 9 M=38.26 kg box and bucket FBD OE both М. T T Tension T in the string tart ng Newton's na Using 2 law T ma ma so mg-T= mg - Mq = ma 15 xg 8 q= mg (mtm) こ (15.+28:20 ره ک a = 2-76 m/s2 the acceleration of box and bucket is 2.76 m2 Using Equation OF motion 2 as 2x2-76x1.5 2. 8++ 2 Hence, speed of bucket after fallen 15m is v= = 2.877 m ma