You are planning to build a log cabin and will need to pull the logs up a hill t

Question

You are planning to build a log cabin and will need to pull the logs up a hill to the building site by means of a rope attached to a winch. In order to buy the rope, you need to know how strong the rape must be and decide to do a quick calculation f The logs weigh 131 Nat most and the hill is at an angle of 28 degree with respect to the horizontal. You estimate that the coefficient of kinetic friction between a log and the hill is 0.90. When pulling a log up the hill, you will make sure that the rope sta to the surface of the hill and the acceleration of log is never more than 0.58 m/s^2. what is the maximum force the rope must be able to exert? N

Explanation / Answer

let Fmax is the maximum applied force,

use,

Fnet_max = Fmax - m*g*sin(theta) - mue_k*N

m*a_max = Fmax - m*g*sin(theta) - mue_k*m*g*cos(theta)

==> Fmax = m*a_max + m*g*sin(theta) + mue_k*m*g*cos(theta)

= (131/9.8)*0.58 + 131*sin(28) + 0.9*131*sin(28)

= 124.6 N

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.