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The principles used to solve this problem are similar to those in Multiple-Concept Example 17. A 205-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 25.0° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.855, and the log has an acceleration of 0.647 m/s2. Find the tension in the rope.

Respuesta :

Answer:2538.43 N

Explanation:

Given

Mass of Log=205 kg

Ramp angle[tex]=25^{\circ}[/tex]

Coefficient of Friction=0.855

log acceleration[tex]=0.647 m/s^2[/tex]

Let T be the Tension

[tex]T-mgsin\theta -f_r=ma[/tex]

Here [tex]f_r=frictional\ Force=\mu N=0.855mgcos\theta =1556.76 N[/tex]

[tex]T=mgsin25+m\times 0.647+1556.76[/tex]

T=849.04+132.63+1556.76=2538.435 N

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