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Chapter 1: Q65P (page 334)

Two weights are connected by a very light, flexible cord that passes over an 80.0-N frictionless pulley of radius 0.300 m. The pulley is a solid uniform disk and is supported by a hook connected to the ceiling (Fig. P10.65). What force does the ceiling exert on the hook?

Short Answer

Expert verified

270N

Step by step solution

01

Friction Force

When one object’s surface comes in contact another one’s surface, the motion is resisted. This is known as Friction force.

02

Given Data

Wpulley=80Nradius=0.300m

03

Determine what  force the ceiling exerts on the hook

Fromthefigure,thetwoweightsare125Nand75N

∑F=ma125-75=125g+75gaa-14g

For the separate system,

localid="1667803868939" T-75=75gaT=75g×14g+75(substituteavalue)T=93.75N

Therefore,

Fceiling-Wplley-2T=0Fceiling=80+2×93.75-267.5N≈270N

Hence, the force exerts on ceiling is localid="1667803807504" 270N

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