a particle of 5kg is peforming shm y=10 sin(pie t) find and plot the displa , velo , - Physics - Oscillations

Question

a particle of 5kg is peforming shm y=10 sin(pie t) find and plot
the displa , velo , and accl at t= 0,1,2, 1/2 and 3/2

Sanjay Singh · Accepted Answer

Dear student
y=10sinπta) y at t=0 ,1,2sec y=0 as sin0=sinπ=sin2π=0and yt=12=10sinπt=y=10sinπ(12)=10yt=32=10sinπt=y=10sinπ(32)=-10Velocity of the particle isv=dydt=d(10sinπt)dt=10πcosπtvt=0=10πcosπt=10πcosπ(0)=10πvt=1=10πcosπt=10πcosπ(1)=-10πvt=2=10πcosπt=10πcosπ(2)=10πvt=12=10πcosπt=10πcosπ(12)=0vt=32=10πcosπt=10πcosπ(32)=0Acceleration of the particle isa=dvdt=d(10πcosπt)dt=-10π2cosπtat=0=-10π2cosπt=-10π2sinπ(0)=0at=1=-10π2cosπt=-10π2sinπ(1)=0at=2=-10π2cosπt=-10π2sinπ(2)=0at=12=-10π2cosπt=-10π2sinπ(12)=-10π2at=32=-10π2cosπt=-10π2sinπ(32)=10π2Regards

a particle of 5kg is peforming shm. y=10 sin(pie t). find and plot the displa., velo., and accl. at t= 0,1,2, 1/2 and 3/2.