Essay on Vibration theory

The pendulum was pulled to about 15 cm from the motion detector. In case of the mass on a spring, the mass was pulled till just a few inches away from the motion detector.

First, we will set up the force table. The table comes in three separate pieces the base, stand and table once we connect and fasten all three parts we must use a circular level to make sure the table is balanced. If the force table isn’t balanced then we must adjust the base’s feet to the appropriate levels on each leg till the bubble on the level is centered. We must then assign where the positive & negative x, y axis are on the force table as a point of reference and label them with tape .Then for part I we must apply 1.96 N in the positive x – direction, and 2.94 N in the positive y-direction then we must balance the two with a third force and record the magnitude and direction of it and a draw a diagram showing all three forces. Part II

To investigate and observe how the acceleration of a mass depends on the resultant forces acting on it, along with its mass, and to furthermore define the relationship between acceleration, net force, and mass as a single equation.

where F is force (5N) , m is mass (5kg), and a is acceleration (you have to find acceleration)

Force is equal to the mass of an inert object multiplied by the acceleration of that body

To test Newton’s seconds law if whether changing the mass or the force affects the acceleration of an object or a trolley in this case to increase or decrease.

b. Describe the direction of the force and the meaning of the negative sign in the acceleration value.

5. What’s really meant is that the forces are the same but going in different directions as a mirror image of one another. So when one force is going for example 2 newtons in a positive direction, the same amount is going in the opposite direction.

handset can give force to a spring loaded operating arm, which is connected to a

10. How does varying the frequency effect contraction force? Which interval caused the greatest contraction?

3. What happens to the total force as the muscle length is increased from 50mm to 100 mm?

As a result of trail and error method we find the angle for the third pulley and the mass that should had be suspended from it. This will balance the forces deployed on the strings due to the other two masses. While the third force is defined as the equilibrant (������⃗������) Since it is the force that establishes the equilibrium. It is also the negative of the resultant -������⃗������ = ������⃗������ = ������⃗ ������ + ������⃗������. We gathered and recorded the mass and the angle required for the third pulley to enable to put the system into the equilibrium in table 1.

Explanation: This all happens because of the formula, Force = Mass X Acceleration. So physically when extra mass is added, the force will increase (e.g. 20 N = 2/m^2 x 10 Kg > 10 N = 2/m^2 x 5 Kg)

Below are two tables in which I have recorded the data which I obtained during the experiment. The first table reflects the Relationship between the deflection/flexion of the cantilever and the mass of the load and the second table reflects the relationship between the flexion of the cantilever and the length of the cantilever.

Where P is the applied force, L is the length of beam, E is the modulus of elasticity of aluminum, and I is the moment of Inertia.