Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what conditions do you think are necessary for an object to be in equil…

Question

what conditions do you think are necessary for an object to be in equilibrium? a there are no forces on the object b there are no torques on the object c the sum of the torques is zero d the sum of the forces is zero e c and d

Explanation:

Brief Explanations

For an object to be in equilibrium, two conditions must be met. First, the sum of all forces acting on the object must be zero ($\sum\vec{F} = 0$), which ensures translational equilibrium (no linear acceleration). Second, the sum of all torques acting on the object must be zero ($\sum\vec{\tau}=0$), which ensures rotational equilibrium (no angular acceleration). Option A is incorrect because forces can act on the object as long as their sum is zero. Option B is incorrect as non - zero torques can exist if their sum is zero. Options C and D are each part of the equilibrium conditions, and when combined (Option E), they represent the complete conditions for equilibrium.

Answer:

E. C and D