Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Leonardo di Vinci was very possibly the first person to do quantitative measurem

ID: 1602765 • Letter: L

Question

Leonardo di Vinci was very possibly the first person to do quantitative measurements on friction forces. However, since he wrote everything down in sort of a secret code (mirror writing), his work was overlooked for centuries In one experiment, di Vinci placed a wooden block on an inclined plane and then slowly increased the angle of the plane until the block just began to slide. If the block began to move at an angle of 30, what was the coefficient of static friction that Leonardo would have recorded? (mu_s = 0.58)

Explanation / Answer

normal force N = m*g*costheta

frictional force f = u*N

static frictional force fs = us*N = us*m*g*costheta


along the incline component of gravitational force Fg = m*g*sintheta


if the body starts to slide Fg = fs

m*g*sintheta = us*m*g*costheta

tantheta = us


us = tan30 = 0.58 <<<---answer

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote