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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a) Material point P(m) writes the flat curve, where_r(0+1)²=a
influence of central force. Find the power law.
a is constant, under the
b) At the moment when the particle passes through the position 0, receives an impulse in the
direction of its movement, which zeros the radial component of its velocity and doubles the
transverse. Prove that the mobile will write the curve
3α
I=
2 + cos
√√3
2
Transcribed Image Text:6 a) Material point P(m) writes the flat curve, where_r(0+1)²=a influence of central force. Find the power law. a is constant, under the b) At the moment when the particle passes through the position 0, receives an impulse in the direction of its movement, which zeros the radial component of its velocity and doubles the transverse. Prove that the mobile will write the curve 3α I= 2 + cos √√3 2
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