A particle P of mass m moves in a straight line under the action of a force of magnitude13m|1|directed towards a fixed point O, where z metres is the distance of P from O. The resistance to motion of P is of magnitude 6m u, where vis the speed of P. 7. Show that the equation of motion of P is dr + 6=+ 13z = 0. dt dt? Initially, P is 3 metres away from O and moving towards O with speed 3 m/s. Express z in the form 1= Ae- sin(2t + 2), giving the values of A and 2. Find the period of oscillation.
A particle P of mass m moves in a straight line under the action of a force of magnitude13m|1|directed towards a fixed point O, where z metres is the distance of P from O. The resistance to motion of P is of magnitude 6m u, where vis the speed of P. 7. Show that the equation of motion of P is dr + 6=+ 13z = 0. dt dt? Initially, P is 3 metres away from O and moving towards O with speed 3 m/s. Express z in the form 1= Ae- sin(2t + 2), giving the values of A and 2. Find the period of oscillation.
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![A particle P of mass m moves in a straight line under the action of a force of magnitude 13m|z| directed
towards a fixed point O, where z metres is the distance of P from O. The resistance to motion of P is of
magnitude 6m u, where vis the speed of P.
7.
Show that the equation of motion of P is
d'r
+ 6 + 13z = 0.
dx
dt?
dt
Initially, P is 3 metres away from O and moving towards O with speed 3 m/s. Express r in the form
I = Ae sin(2t + 2), giving the values of A and 2.
Find the period of oscillation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4957fe4-4c01-40d3-938e-f3efa5fe6d1c%2F64d0bfc3-7ee7-4d93-8a73-8ee12792c2b0%2Fd28eao3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle P of mass m moves in a straight line under the action of a force of magnitude 13m|z| directed
towards a fixed point O, where z metres is the distance of P from O. The resistance to motion of P is of
magnitude 6m u, where vis the speed of P.
7.
Show that the equation of motion of P is
d'r
+ 6 + 13z = 0.
dx
dt?
dt
Initially, P is 3 metres away from O and moving towards O with speed 3 m/s. Express r in the form
I = Ae sin(2t + 2), giving the values of A and 2.
Find the period of oscillation.
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