1. The position vector of a particle P of mass 2 kg at time i seconds is given by r= [(I- cos 21)i+ (1+sin 21) j]m (i) Find the velacity of P whenf=: (i) Find alsó acceleration of P when i = (ii) Find magnitude of the force acting on P when 1=. (iv) Show that the velocity and acceleration of P are always perpendicular to cach other. (v) Determine the value of i for 0s1s for which the velocity of P is perpendicular to its position vector.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The position vector of a particlep of mass 2 kg at time t seconds is given by
r=[(1-cos 21)i + (1+ sin 2r) j]m .
(i)
Find the velocity ofP when/=-
(ii) Find also acceleration of P when i
(iii) Find magnitude of the force acting on P when /=:
(iv) Show that the velocity and acceleration of P are always perpendicular to cach other.
(v)
Determine the value of i for 0sis" for which the velocity of P is perpendicular to its position
vector.
Transcribed Image Text:The position vector of a particlep of mass 2 kg at time t seconds is given by r=[(1-cos 21)i + (1+ sin 2r) j]m . (i) Find the velocity ofP when/=- (ii) Find also acceleration of P when i (iii) Find magnitude of the force acting on P when /=: (iv) Show that the velocity and acceleration of P are always perpendicular to cach other. (v) Determine the value of i for 0sis" for which the velocity of P is perpendicular to its position vector.
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