The moment of inertia of a rod with a mass attached at one end is calculated using the formula for a point mass at a distance from the axis of rotation. The moment of inertia of the rod itself is also considered in the calculation. The final moment of inertia depends on the mass of the rod, the mass attached at one end, and the distance of the mass from the axis of rotation.
The moment of inertia of a helix (coil) can be calculated using the formula for a thin rod rotated about its end axis. The moment of inertia of a helix will depend on its radius, pitch, and total length. It involves integration to account for the helical shape.
INERTIA IS the amount of mass in a certain object.so the question is in fact does the mass of an object increase ? according to enstien equation 2 energy can be transfered into mass, when the e=mC speed of an object increases its speed this meens that its energy also increases , by the equation its mass also increases
If you double the mass on the end of the string while keeping all other factors the same, the period of the pendulum will remain unchanged. The period of a pendulum is independent of the mass attached to it as long as the length and gravitational acceleration remain constant.
The mass of a pendulum does not affect its speed. The speed at which a pendulum swings is determined by its length and the acceleration due to gravity. A heavier pendulum will have more inertia, which means it requires more force to set it in motion, but once it is in motion, its speed will be the same regardless of its mass.
A spring stretches because the coiled spring stores potential energy. This energy is released as the spring is stretched and returns to its original shape. Over a period of time, the spring becomes worn and loses the potential energy.
The moment of inertia of a helix (coil) can be calculated using the formula for a thin rod rotated about its end axis. The moment of inertia of a helix will depend on its radius, pitch, and total length. It involves integration to account for the helical shape.
Imagine a pendulum, if you will. The longer a pendulum is, the longer it will take to make a full cycle. The converse is also true; if a pendulum is shorter, it will take less time to make a full cycle. The answer lies in the gravitational potential energy of the system, and the moment of inertia of the pendulum. Given a fixed mass at the end of a string with negligible mass, it is apparent that the longer the string is, the greater its moment of inertia (inertial moment is roughly analogous to the inertia of a stationary object). With only a fixed amount of gravitational potential energy to drive the pendulum, the one with a larger moment of inertia will travel slower.
A 9.4kg mass is attached to a light cord that passes over a massless frictionless pulley. The other end of the cord is attached to a 3.2kg mass. The final speed after mass 1 falls 4.5m is approximately 6.6 meter per square second.
cause thats what ur supposed to do
more mass the longer the spring
The moment of inertia of a cube depends on what its axis of rotation is. About an axis perpendicular to one of its sides and through the centre of the cube is (ML2)/6. Where M is the Mass of the Cube and L the length of its side. Due to the symmetry of the cube, you can find the Moment of Inertia about almost any other axis by using Parallel and Perpendicular Axis Theorems.
Through the axis of the circular end it is MR2, but the middle of the cylinder length wise is (1/2)MR2 + (1/12)ML2
In a simple pendulum, with its entire mass concentrated at the end of a string, the period depends on the distance of the mass from the pivot point. A physical pendulum's period is affected by the distance of the centre-of-gravity of the pendulum arm to the pivot point, its mass and its moment of inertia about the pivot point. In real life the pendulum period can also be affected by air resistance, temperature changes etc.
INERTIA IS the amount of mass in a certain object.so the question is in fact does the mass of an object increase ? according to enstien equation 2 energy can be transfered into mass, when the e=mC speed of an object increases its speed this meens that its energy also increases , by the equation its mass also increases
Balance it. If the mass is known, then the position can be calculated, or if the desired position is known (it will have to be greater than 36.5 cm), then the necessary mass can be calculated. This is calculated by adding the torques created about the pivot point by the weight of each part of the stick, and the additional mass and moment arm. The shorter end of the stick plus the first weight will create a torque in one direction, and the rest of the stick creates a torque in the opposite direction. The minimum mass necessary is 0.269 kg. This is at the 1 meter (100 cm) mark. If the mass is attached between the 36.5 cm and 100 cm, then a greater mass will be necessary.
A suffix is attached to the end of a word. A prefix is attached to the beginning of a word.
Suffix is attached in the end. Eg: word "able" which can be added to avoidable, comfortable, etc. Prefix is attached in the beginning. Eg: Dr. for Doctor, ER. for Engineer.