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Chapter 7: Q. 45 (page 180)

A house painter uses the chair-and-pulley arrangement of FIGURE P7.45to lift himself up the side of a house. The painter鈥檚 mass is 70kgand the chair鈥檚 mass is 10kg. With what force must he pull down on the rope in order to accelerate upward at 0.20m/s2?

Short Answer

Expert verified

Force on the rope applied by the painter in the downward direction is4脳102N

Step by step solution

01

Given information 

The mass of the painter, mp=70kg

The mass of the chair,mc=10kg

02

Explanation

The tension in the rope is calculated as

2T=mp+mcg-mp+mca=70kg+10kg9.8m/s2-70kg+10kg0.2m/s2=384N

Force required to accelerate the painter

Fnet=TFnet=3.84脳102N

Force on the rope applied by the painter in the downward direction is 4脳102N.

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Most popular questions from this chapter

In case a, in the figure block A is accelerated across a frictionless table by a hanging 10Nweight (1.02kg). In case b, block A is accelerated across a frictionless table by a steady 10Ntension in the string. The string is massless, and the pulley is massless and frictionless. Is A鈥檚 acceleration in case b greater than, less than, or equal to its acceleration in case a? Explain.

The 2000kgcable car shown in FIGURE P7.42descends a 200-m-high hill. In addition to its brakes, the cable car controls its speed by pulling an1800kg counterweight up the other side of the hill. The rolling friction of both the cable car and the counterweight are negligible.

a. How much braking force does the cable car need to descend at constant speed?

b. One day the brakes fail just as the cable car leaves the top on its downward journey. What is the runaway car鈥檚 speed at the bottom of the hill?

FIGUREP7.39shows a block of mass m resting on a 20掳slope. The block has coefficients of friction渭s=0.80 and渭k=0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0kg.

a. What is the minimum mass m that will stick and not slip?

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The 100kgblock in FIGURE EX7.25takes 6.0sto reach the floor after being released from rest. What is the mass of the block on the left? The pulley is massless and frictionless.
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