Friday, January 30, 2015

mass of meter stick

During class we where issued an assignment which was to find out the weight of a ruler without using a scale. We started by doing some demo experiment, one was to show an unbalanced torque and explain why.

This picture shows that the right side of the ruler is shorter, so it will have a smaller torque, they both have the same lever arm distance but the right side has a greater torque therefore has the greater toque and rotating the object clockwise.

In the last demo we where asked to add a 100g mass one side and still make it balance, so we just made the balance point closer to the weight so it could balance.
by looking at this picture we can see that the balancing point is closer to the weight. Both torques have to be equal so that the ruler can balance, so if the force of the right side is 100g=1N, and the lever arm is 10cm then the torque is 10Ncm.

We then started our experiment in finding out the weight of the ruler. We set up the exact same experiment at the top. Our point of balance was at the 70 cm point, so the left side had a force of 0.98N and a lever arm of 30cm and the right side had a lever arm of 20 and a unknown force. We found the force by 0.98*30= 29.4, then divided 29.4 by 20 to give us 'x', and that was 1.47. We then divided 1.47 by 9.8 so that we can convert it back to kg and got 0.15kg = 150g.

Wednesday, January 28, 2015

Center of mass and Rotational Inertia

Center of mass
The Center of mass of an object is the point where all of its mass is concentrated. When an object is supported at its center of mass there is no net torque acting on the body, so it will remain at equilibrium and balance. If the center of mass surpasses the bass it is under, it will lose balance and collapse.
Rotational Inertia
Rotational inertia is a Scalar, this means that it is not a vector and is dependent upon the radius of rotation, it is a measurement of an object's resistance to change in its rotation. Change in rotation before has to equal change in rotation after. So if an object had a great rotational inertia and a low velocity, the same object after can have a low rotational inertia with high velocity so that both change in momentum are equal