Question

Course search A cement mixer drives onto a drawbridge just when the bridge is raised to let through a ship. Three-quarters of the way across the driver stops and pulls up the handbrake (see figure). The bridge has a mass of 2810 kg and the cement mixer a mass of 6903 kg. T 70° K10.0 m 40.0 m 30°

Determine :

A.The magnitude of the tension T in the cable .Units :N

B.The horizontal component of the reaction force at the hinge of the bridge .Units :N

C.The vertical component of the reaction force at the hinge of the bridge .Units :N

D. How much force does a child have to apply to keep a beach ball of 23 cm radius submerged below surface of a swimming pool ??

Answer 1

Given :

Mb=2810kg

Mc=6903kg

-- Torque about hinge caused by bridge is 281089, 8 Cos 30 x 40 X Y = 476972 152Nm Torque about his caused truck is To = 6903 X9, 8806130 x 40x3/4 =1757582.87 am let, Tension on cable T T = TX sin(0x40=371598 hinge by 7 » T = -59445.467 N=59.445KN Tit B = 3 - qx Cos (70-30) = 45537.80=45.5376N Phon horizontal Rvertical - 56.976 KN (2810 +6903) 9.81 - (TX sin 40°)