1. PAL 1. Consider a 100-N 1.5-m-long ramp hinged to the bed of a truck. The ramp makes an angle of 20 o with horizontal. a)Draw the gravitational force vector, which you can assume is applied at the center of mass. What is the magnitude of this vector? b) Draw the radius vector from the axis of rotation (the hinge) to the point where the force is applied. What is the magnitude of this vector? c)Find the angle between the force vector and the radius vector. d)Find the torque around the hinge that the ramp’s weight exerts on the ramp

3. PAL 2. Consider a different 100-N ramp hinged to the bed of a truck. The ramp hits the ground 1.2 m from the back end of the truck. a)Draw the gravitational force vector, which you can assume is applied at the center of mass. What is the magnitude of this vector? b)Draw the lever arm – to do this draw a line from the axis of rotation (the hinge) perpendicular to the force vector (extend the line of force, if needed). How long is the lever arm? c)Find the torque around the hinge that the ramp’s weight exerts on the ramp