The similarities and differences of Kinetics of a Particle: Work and Energy and Planar Kinetics of a Rigid Body: Work and Energy. Kinetics of a particle: work and energy shows the particle moving when forces are applied to it and produces work and energy. Meanwhile under planar kinetics of a rigid body shows the rigid body on the plane when forces are applied and produces work and energy. There are similarities and differences between both of it. Kinetics of a particle Planar kinetics of a rigid body
Similarities - Conservation of energy
- Conservation forces and potential energy
*gravitational
*elastic/plastic
- Principle of work and kinetic energy
*T1+ƩU1-2=T2
Differences - The work of forces
*not constant forces
*have work if variable force, weight and spring -the work of forces
*constant forces
*does not have.
- Do …show more content…
Therefore, any problem that can be solved by the work-energy method can, in theory, be solved using the FMA method. There is main advantage of using work and energy method compared to the force-mass-acceleration (FMA) method.
1. Work can be calculated in problem without integration, the change in speed of the particle may be easily obtained with a minimum of computation.
2. Only forces that do work need to be considered which mean a nonworking force does not have to use.
3. If the final position is chosen to be an arbitrary position, the work and energy method will determine the speed as a function of a position of the particle.
In the rigid body, the forces internal to a rigid body hold the body together which the forces that imposed the condition of the rigidity is constrained. These internal forces occur in equal and opposite collinear pairs. Because the body is rigid, distances are not change between the particles, which in turn implies that the distances between the points of application of the internal forces remain constant. (U1-2)ext=ΔT
Similarities - Conservation of energy
- Conservation forces and potential energy
*gravitational
*elastic/plastic
- Principle of work and kinetic energy
*T1+ƩU1-2=T2
Differences - The work of forces
*not constant forces
*have work if variable force, weight and spring -the work of forces
*constant forces
*does not have.
- Do …show more content…
Therefore, any problem that can be solved by the work-energy method can, in theory, be solved using the FMA method. There is main advantage of using work and energy method compared to the force-mass-acceleration (FMA) method.
1. Work can be calculated in problem without integration, the change in speed of the particle may be easily obtained with a minimum of computation.
2. Only forces that do work need to be considered which mean a nonworking force does not have to use.
3. If the final position is chosen to be an arbitrary position, the work and energy method will determine the speed as a function of a position of the particle.
In the rigid body, the forces internal to a rigid body hold the body together which the forces that imposed the condition of the rigidity is constrained. These internal forces occur in equal and opposite collinear pairs. Because the body is rigid, distances are not change between the particles, which in turn implies that the distances between the points of application of the internal forces remain constant. (U1-2)ext=ΔT