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The position vector vecr of a particle o...

The position vector `vecr` of a particle of mass m is given by the following equation
`vecr(t)= alphat^3hati+beta^2hatj,`
where `alpha = 10//3ms^(-3), beta = 5 ms^(-2)` and m = 0.1kg. At t=1s, which of the following statement (s) is (are) true about the particle?

A

The velocity v isgivenby v =(10/ + 10 j )ms"1.

B

The angular momentum L with respect to the •— gt A origin is given by L = ~(5/3)k Nms

C

The force f- is given by T =(/ +2 j )N

D

The torque x with respect to the origin is given by x* (20 /3)k Nm

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