Problem 20P

A shop sign weighing 245 N is supported by a uniform 155-N beam as shown in Fig. 9–54. Find the tension in the guy wire and the horizontal and vertical forces exerted by the hinge on the beam.

FIGURE 9–54

Step 1 of 1 m dog=9.5 kg(vdog i = 0 m/s(v ) =0.5 m/s canoe i(vcanoe f)=-0.15 m/sm canoe=Use the conservation of the momentum to calculate the mass of the canoe.The initial momentum of the dog and the canoe system is equal to the finalmomentum of the dog and the canoe system and it is expressed as follows: mdog(vdog i =m canoev canoe i= m dog(vdog f =m canoe(vcanoe f 9.5(0)=m canoe0)= 9.5(0.5)=m canoe(-0.15) 0=4.5+m canoe-0.15) mcanoe =30 kgTherefore, the mass of the canoe is 30 kg.