Question

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.

Answer 1

Answer:2538.43 N

Explanation:

Given

Mass of Log=205 kg

Ramp angle$=25^{\circ}$

Coefficient of Friction=0.855

log acceleration$=0.647 m/s^2$

Let T be the Tension

$T-mgsin\theta -f_r=ma$

Here $f_r=frictional\ Force=\mu N=0.855mgcos\theta =1556.76 N$

$T=mgsin25+m\times 0.647+1556.76$

T=849.04+132.63+1556.76=2538.435 N