# Ddddd

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Practical 4 _______________________________________________________________________
To investigate the trajectory of a small ball as it rolls off a surface which is inclined to the horizontal Objective: * To investigate the trajectory of a motion in two dimensions. Apparatus and Materials: 1. Ramp 2. Wooden block 3. Pendulum bob 4. Plumb line 5. Steel ball 6. Wooden board 7. Carbon paper 8. Meter rule 9. Figure 4-1
Plasticine

Setup: 1. Set up a ramp at the edge of a bench as shown in Figure 4-1. 2. Suspend a plumb-line from the edge of the bench as shown in Figure 4-2. 3. Mount a wooden board horizontally using two clamps so that the board is situated somewhere below the base of the ramp. 4. Place a sheet of blank paper on top of the board. 5. Place a piece of carbon paper on top of the blank paper. The ink-side of the carbon paper should be facing down. 6. When a ball is released at the top of the ramp, the ball will travel through a trajectory as shown in Figure 4-2.

Figure 4-2

Theory: Let: g = 9.8 ms-2 u = speed of the ball as it leaves the ramp k = constant y = vertical distance (between the bottom of the ramp and the top of the board) x = horizontal distance (between the plumb-line and the mark on the paper) h = height of release of ball from the height of the bottom of the ramp. θ = angle the ramp makes with the horizontal (table surface) For a two-dimensional motion under gravity, taking downwards as the +ve direction, Horizontal motion without acceleration, Vertical motion under gravity, Resolving both equation, Giving us Assuming no frictional loss, loss in Potential energy = gain in Kinetic energy, Hence, If rotational motion is taken into account, Procedure: 1. Measure the...

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