Very easy torque question which I can't solve

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Two unequal forces acting on an object in the same direction can cause the object to rotate around its own axis, as confirmed by the sample answer. The net torque is calculated based on the forces applied, which determines the axis of rotation. While the object may move from its initial position, it still rotates around its own axis. Understanding the relationship between force, torque, and the axis of rotation is crucial for solving such problems. The discussion emphasizes the importance of correctly interpreting torque calculations in physics.
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very easy torque question which I can't solve :)

Hello everyone,

I am confused about some torque problem and I would really appreciated if someone help me with it. The question should be quite easy, but the sample answer doesn't make sense to me.

Two unequal forces acting on an object in the same direction, will the object rotate around it's axis or not?

the sample answer said that the object will rotate around its axis(after calculating the net toque), but how is that? isn't it should rotate around a point away from its origin?



Thank you
 
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The answer is true in the book. The rod will rotate around IT"S OWN AXIS.
The rod's axis moves with the rod.(the axis ofcourse is decided after the calculations).

And yes, the rod moves away from it's initial position.
 


thank you :)
 


glad to help :smile:
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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