A net torque applied to a rigid object always tends to produce?
a)translational acceleration
b) rotational equilibrium
c) rotational acceleration
d) rotational inertia
e) none of these
work (c)
Torque produces torsion and tends to produce rotation. The net torque acting on a body is always equal to the product of the body's moment of inertia about its axis of rotation and its observed angular acceleration. If a body undergoes no angular aceleration, there is no net torque acting on it.
The conditions that the net force and the net torque vanish:
a) hold for every rigid body in equilibrium
b) hold only for elastic solid bodies in equilibrium
c) hold for every solid body
d) are always sufficient to calculate the forces on a solid object in equilibrium
e) are sufficient to calculate the forces on a solid object in equilibrium only if the object is elastic.
work (a)
i believed the answer was a because a rigid body is connected and all its parts move as a whole. So for a rigid body there is no net torque or no net force. Everything should balance. I believe that is why in equilibrium problems they use Uniform.
Thank you
You are right on the first, and have chosen the best answer on the second. THe second question begs for rewording.
ok so the answers I choose both look good
Pls answer me
Yes, you have chosen the correct answers for both questions.
For the first question, the correct answer is c) rotational acceleration. A net torque applied to a rigid object tends to produce rotational acceleration, as torque produces torsion and tends to cause rotation.
For the second question, the correct answer is a) hold for every rigid body in equilibrium. The conditions that the net force and net torque vanish hold for every rigid body in equilibrium, meaning that there is no net force or torque acting on the body for it to be in a state of balance.
Yes, you are correct in choosing option c) rotational acceleration as the answer for the first question. A net torque applied to a rigid object tends to produce rotational acceleration. Torque is the measure of the force's effectiveness in causing rotational motion, and it is directly proportional to the product of the force applied and the distance from the axis of rotation.
To understand this concept, you can use the following equation:
Torque = Force x Distance x sin(θ)
Where:
- Torque is the rotational force applied (measured in Newton-meters or Nm)
- Force is the force applied (measured in Newtons or N)
- Distance is the distance from the axis of rotation where the force is applied (measured in meters or m)
- θ is the angle between the force vector and the line connecting the point of application to the axis of rotation.
If the net torque acting on a rigid object is non-zero, it will cause the object to undergo rotational acceleration, which means it will start rotating or change its rotational speed.
Regarding the second question, you chose option a) hold for every rigid body in equilibrium, which is the correct answer. The conditions that the net force and the net torque vanish hold for every rigid body in equilibrium. In other words, if a rigid body is in equilibrium, the sum of the forces acting on it is zero (net force) and the sum of the torques acting on it is zero (net torque). This is because all the forces and torques acting on the body balance each other out, resulting in no translational or rotational motion.
It's important to note that these concepts apply to rigid bodies, which are assumed to be non-deformable and have no internal movement.