Three forces equilibrium and Newton's third law true/false

[chance master]

True or False:
If three forces, all of equal magnitude, act on a single object can these forces be arranged to cancel out, so that the object is in equilibrium? (F)

If three forces, all of unequal magnitude with the other two, act on a single object, it is never possible for these
three forces to cancel, so we can deduce that there will be a net force on the object.(F)

According to Newton's 3rd Law, it is never possible for a single force to act on a single object.(T)

 

[phinds]

I'd like to hear your reasoning for your answer to number 1.

 

[chance master]

I figure that no matter which way you organize 3 forces of equal calibre(let's say 600N), you can never balance the 3 forces so that there would be a net force of zero on the object. I tried making a force diagram but I still came to the same conclusion.

 

[phinds]

I figure that no matter which way you organize 3 forces of equal calibre(let's say 600N), you can never balance the 3 forces so that there would be a net force of zero on the object. I tried making a force diagram but I still came to the same conclusion.

Do you understand the concept of an equilateral triangle?

 

[J Hann]

For the third one, consider pulling a cart with a rope and examine the point of contact
of the rope with the cart (draw the force arrows) and see if you still arrive at the
same conclusion.