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

Step-by-step 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* 0.647+1556.76`

T=849.04+132.63+1556.76=2538.435 N