A particle moves under a central force, . Is this an attractive or a repulsive force? Find the radius and energy of the circular orbits.
The nature of the central force depends on its direction relative to the particle. A central force is generally written as F⃗=f(r)r^\vec{F} = f(r) \hat{r}, where f(r)f(r) is a scalar function of the distance rr, and r^\hat{r} is the unit vector along rr. If f(r)<0f(r) < 0, the force is attractive, _______ __________ _____ _______ ________ ________ _______.
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Write down the equations of constraint/s for the following systems and classify them as holonomic/nonholonomic and scleronomic/rheonomic:
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iii) Derive the Euler Lagrange equations of motion for the system.
iv) Obtain the energy function for the system.
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A particle moves under a central force, . Is this an attractive or a repulsive force? Find the radius and energy of the circular orbits.
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