1. draw the trajectory of a point on a beam rotating. choose a coordinate system. choose a point on that trajectory that is not on a coordinate axis. draw vectors representing the position, velocity, and acceleration of that point.2. write equations for each component of the position vector, as a function of the distance of the point from the axis of rotation and the angle the vector makes with an axis of your coordinate system. next, calculate how that angle depends on time and the constant angular speed of the beam. sketch three graphs, (one for each of these equations) as a function of time. explain why one of the graphs increases monotonically with time, but the other two oscillate.3. using your equations for components of the position of the point, calculate an equation for each component of the velocity of the point. graph these two equations as a function of time. compare these graphs to those for the components of the position of the object (when one component of the position is at a maximum, for example, is the same component of the velocity at a maximum value? ) draw these components at the point you have chosen in your drawing; verify that their vector sum gives the correct direction for the velocity of the point.4. use your equations for the point’s velocity components to calculate its speed. does the speed change with time? should it? 5. use the equations for the point’s velocity components to calculate an equation for each component of the point’s acceleration. graph these two equations as functions of time, and compare to the velocity and position graphs. verify that the vector sum of the components gives the correct direction for the acceleration of the point you have chosen in your drawing. use the acceleration components to calculate the magnitude of the acceleration.6. for comparison, write down the expression for the acceleration of the point as a function of its speed and its distance from the axis of rotation. predictionwhat are you trying to calculate? restate the problem to clearly identify your objective.