a) Material point P(m) writes the flat curve, where r(0+1)² =α a is constant, under influence of central force. Find the power law. b) At the moment when the particle passes through the position 8 = 0, receives an impulse in direction of its movement, which zeros the radial component of its velocity and doubles transverse. Prove that the mobile will write the curve 3α 2 + cos √√3 2 0
a) Material point P(m) writes the flat curve, where r(0+1)² =α a is constant, under influence of central force. Find the power law. b) At the moment when the particle passes through the position 8 = 0, receives an impulse in direction of its movement, which zeros the radial component of its velocity and doubles transverse. Prove that the mobile will write the curve 3α 2 + cos √√3 2 0
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