Grade 11Mechanics

2kg block start from rest on the positive x axis 3m from origin and has acceleration given by a=(4m/s^2)i+ (3m/s^2)j.at the end of 2s its angular momentum about origin is

Rishav raj

7 Years agoGrade 11

1 Answer

Piyush Kumar Maurya

7 Years ago

Initially displacement vector R_o= 3i cap

Velocity, V = a.t = 4t icap + 3t jcap

Final Displacement,R_f= ∫ V.dt = ∫(4t icap +3t jcap) dt

= 2t² icap + 3t²/2 jcap

Displacement , vector R= R_f + R_o

= (3 + 2t²icap + 3t²/2 jcap)

At t= 2s

Displacement,vector R = 11 icap + 6 jcap

Velocity, V = 8 icap + 6 jcap

Vector L = vector R x vector P

= m (vector R x vector V)

= 2 [( 11 icap + 6 jcap) x ( 8 icap + 6 jcap)]

= 2( 66 kcap - 48 kcap)

= 2( 18 kcap)

Vector L = 36 kcap

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2kg block start from rest on the positive x axis 3m from origin and has acceleration given by a=(4m/s^2)i+ (3m/s^2)j.at the end of 2s its angular momentum about origin is

Rishav raj

1 Answer

Piyush Kumar Maurya

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