A rigid body is rotating with an angular velocity vecω , torque acting on it is vect and an angular momentum is vecL. Then relation between vect and vecL is :

Question

A rigid body is rotating with an angular velocity vecω , torque acting on it is vect and an angular momentum is vecL. Then relation between vect and vecL is : (A)  vect= vecω × vecL  (B)  vect= vecL(d vecω /dt)  (C)  vect= vecω (d vecL/dt)  (D)  vect=(dL/dt)

Tardigrade Admin · Accepted Answer

Torque is equal to rate of change of angular momentum τ =(dL/dt)

Q. A rigid body is rotating with an angular velocity $ω,$ torque acting on it is $t$ and an angular momentum is $L .$ Then relation between $t$ and $L$ is :

$t = ω \times L$

$t = L \frac{d ω}{d t}$

$t = ω \frac{d L}{d t}$

$t = \frac{d L}{d t}$

Torque is equal to rate of change of angular momentum $τ = \frac{d L}{d t}$

Q. A rigid body is rotating with an angular velocity ω, torque acting on it is t and an angular momentum is L. Then relation between t and L is :

t=ω×L

t=Ldtdω​

t=ωdtdL​

t=dtdL​