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tatiyna
3 years ago
12

A 205 kg log is pulled up a ramp by means of a rope that

Physics
1 answer:
Volgvan3 years ago
7 0

Answer:2.737 kN

Explanation:

Given

mass of log(m)=205 kg

ramp inclination=30^{\circ}

coefficient of kinetic friction between log and ramp is (\mu _k)=0.9

log has an acceleration of 0.8 m/s^2

Let T be the tension in the rope

T-mgsin\theta -f_r=ma

Where mgsin\theta=Sin component of weight

f_r=friction\ Force=\mu _KN(Where N is Normal reaction)

T-mgsin\theta -\mu _k\left ( mgcos\theta \right )=ma

T=m\left ( gsin\theta +\mu _kcos\theta +a\right )

sin30=0.5

cos30=0.866

T=205\times \left ( 9.81\times 0.5+0.9\times 9.81\times 0.866+0.8\right )

T=205\times 13.35=2.737 kN

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