How do you find the center of mass of a meter stick?
The center of mass of a meter stick is at the exact center. (50 cm from the left hand end). It is supported by a string at the 75 cm position on thestick.
How do you solve static equilibrium problems?
- Identify the object to be analyzed.
- Set up a free-body diagram for the object.
- Set up the equations of equilibrium for the object.
- Simplify and solve the system of equations for equilibrium to obtain unknown quantities.
How many torques are acting on the meter stick?
The net torque about an axis is then the vector sum of the individual torques about that axis. When the meter stick alone is in equilibrium there are two forces acting on it, the force of gravity downward and the force of the fulcrum upward.
How do you calculate the weight of a meter stick using torque?
a) To find the unknown mass
- Find the center of gravity of the meter stick by balancing it on the support stand. Use a knife-edge clamp on the meter stick.
- Hang the unknown mass near one end of the stick.
- Calculate the value of the unknown mass.
- Repeat 2 & 3 for known masses 250-g and 300-g and complete the data table.
What is the middle of a meter stick?
At the exact center of the meter stick is the 50 cm mark. If you placed your finger under the meter stick and held it up at this point, you would find it to be nearly balanced. That is because 50 cm is exactly one half of a meter.
Where is the center of gravity of a uniform meter stick?
Note: We have assumed the “center of gravity” of the meter stick is located at the geometric center of the meter stick. Center of gravity is the point where one can consider as if all the mass is concentrated.
What are the 3 equations of static equilibrium?
In order for a system to be in equilibrium, it must satisfy all three equations of equilibrium, Sum Fx = 0, Sum Fy = 0 and Sum M = 0.
What is static equilibrium with example?
Static equilibrium occurs when there is no exchange between reactants and products. An example of static equilibrium is diamond turning into graphite.
What is the formula for net torque?
The individual torques add to produce a net torque about the axis. When the appropriate sign (positive or negative) is assigned to the magnitudes of individual torques about a specified axis, the net torque about the axis is the sum of the individual torques: →τnet=∑i|→τi|.