Try to show all of the following steps for the problem below: Draw a free-body d
ID: 1334175 • Letter: T
Question
Try to show all of the following steps for the problem below:
Draw a free-body diagram for at least one object (or system) with vectors showing all forces on that object.
Draw a coordinate system for each free-body diagram and label the axes clearly.
Write Newton’s Second Law in component form for each object (that is: write Fx= max , Fy = may , etc)
Write down any constraints for the system based on what you know about its motion. For instance, you may know that the velocity is zero or that the velocity is constant or that two objects move together or that the motion must lie along a certain axis.
Solve algebraically for the unknowns.
a) If a mountain goat with m = 90 kg is standing still on a mountain with a = 60° incline (from the horizontal), what is the minimum coefficient of static friction required between its hooves and the rock?
To escape a predator, the mountain goat accelerates (with constant acceleration) from rest to a velocity of 3 m/s directly up the incline over a duration of 0.1 second.
b) Which force is responsible for accelerating the goat up the incline: static friction or kinetic friction? Explain your answer.
Explanation / Answer
a)just to stay steadily the gravitational force component along the inclined down=limiting friction along the incline up
mgsin(60)=us(mue)mg cos60
u(mue)=tan60=1.732
in second case gravitational component actsalong inclined down and friction acts along inclined up
b)the static friction helps to accelerate the goat because the goat is not sliding up over the inclined it climbs due to the reaction by the ground