00:01
In this question we've been told that a truck is motionless on a hill which has a coefficient of kinetic friction.
00:07
Point one and the hill is inclined at 25 degrees through the horizontal.
00:13
So we need to draw the free body diagram and show all the forces acting on the.
00:20
So we know that the angle is 25 degrees.
00:25
And the first force which is acting on the is the weight of the truck which is acting vertically downwards.
00:32
Then this is a normal force and we know that the truck is going to go down so the friction will act against the motion the friction will act upwards now we can divide force into two we can divide the weight into two components this angle is going to be 25 so this is going to be w cost 25 and this is going to be w sine 25 so we have divided weight into 2 components so now if we get if we take the sum of forces so normal is going to be equal to normal is going to be equal to w cost 25 weight cost 25 and the friction force is going to be balanced by w sign 25 so friction is going to be equal to w sign 25 so we have represented all the forces acting on the truck now in in the second part, we need to determine the acceleration of the truck, assuming the incline is frictionless.
01:43
So in the v part, we need to find out the acceleration.
01:46
So suppose if the incline is frictionless, there is no, the friction force is going to be zero.
01:54
So only this force, the w -syne 25, will act downwards.
02:01
So the gravitational, the acceleration is going to be equal to.
02:07
W sign 25 sorry the force acting on the the net force acting on the truck will be f net is going to be w sign 25 so we need to find out the acceleration so we know that acceleration is equal to f over m so we are going to apply this so force is going to be divided by the mass on both sides so f over is going to be acceleration and in this case w equals to m g sign 25 over m so the mass is going to be cancelled out so acceleration is going to be g which is a gravitational acceleration sign 25 so this is going to be 9 .81 sign 25 so this is equal to 4 .15 meter per second square so this is the answer for part b in part c, we have been told that truck takes four second to slide from its initial position to the bottom of the hill.
03:32
So we know the acceleration and we know the time...