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When is an object in rotational equilibrium?
An object is in rotational equilibrium when the net torque acting on it is zero. This occurs when the clockwise torques are balanced by counterclockwise torques, resulting in no rotational acceleration.
A torque acting on an object tends to produce what?
A torque acting on an object tends to produce rotation.
What is torque and state the conditions of rotational equilibrium?
Torque is analogous to force. As Force produces a change in the state of linear motion of a body, Torque produces a change in the state of rotational motion of a body. The unit is newton meter (Nm) and the symbol is tau (τ) For rotational equilibrium, the algebraic sum of the torques acting on a body must be zero. ie. Στ=0
What is the relationship between the net torque acting on an object and its resulting rotational motion?
The net torque acting on an object determines its resulting rotational motion. If the net torque is greater, the object will rotate faster, and if the net torque is smaller, the object will rotate slower.
What are some examples of rotational equilibrium problems and how can they be solved?
Examples of rotational equilibrium problems include a beam supported at one end, a spinning top, and a rotating wheel. These problems can be solved by applying the principle of torque, which is the product of force and distance from the pivot point. To solve these problems, one must calculate the net torque acting on the object and ensure it is balanced to maintain rotational equilibrium.
When is an object in rotational equilibrium?
An object is in rotational equilibrium when the net torque acting on it is zero. This occurs when the clockwise torques are balanced by counterclockwise torques, resulting in no rotational acceleration.
A torque acting on an object tends to produce what?
A torque acting on an object tends to produce rotation.
What is torque and state the conditions of rotational equilibrium?
Torque is analogous to force. As Force produces a change in the state of linear motion of a body, Torque produces a change in the state of rotational motion of a body. The unit is newton meter (Nm) and the symbol is tau (τ) For rotational equilibrium, the algebraic sum of the torques acting on a body must be zero. ie. Στ=0
What are anticlockwise and clockwise equilibrium?
Anticlockwise equilibrium refers to a state where the net torque acting on an object causes it to rotate counterclockwise, while clockwise equilibrium refers to a state where the net torque causes the object to rotate clockwise. In both cases, the object is in rotational equilibrium because the torques are balanced and there is no angular acceleration.
What is the relationship between the net torque acting on an object and its resulting rotational motion?
The net torque acting on an object determines its resulting rotational motion. If the net torque is greater, the object will rotate faster, and if the net torque is smaller, the object will rotate slower.
What are some examples of rotational equilibrium problems and how can they be solved?
Examples of rotational equilibrium problems include a beam supported at one end, a spinning top, and a rotating wheel. These problems can be solved by applying the principle of torque, which is the product of force and distance from the pivot point. To solve these problems, one must calculate the net torque acting on the object and ensure it is balanced to maintain rotational equilibrium.
When the net torque acting on an object is zero the object is in?
In that case, the object's rotational momentum won't change.
When torque has no net torque what is it called?
In that case, you can say that:* The net torque is zero, or equivalently that * The sum (vector sum, to be precise) of all the torques is zero.
Can an obeject be in equilibrium if the only torques acting on it produce clickwise rotation?
No, for an object to be in equilibrium, the net torque acting on it must be zero. If all torques are producing clockwise rotation, there will be a net torque causing the object to rotate in that direction, not in equilibrium.
Explain when a matter is in a state of equilibrium?
It is in equilibrium when the two conditions are satisfied - there is no net translational equilibrium and no net rotational equilibrium. For translational equilibrium, the summation of forces acting on the matter must equate to zero, which means that there is no resultant force. For rotational equilibrium, the sum of moments must be zero, which means there is no resultant torque. When these two conditions are met, the object will be stationary, i.e. it is in a state of equilibrium.
What is necessary for an object to be in complete rotational and translational equilibrium?
When the vector sum of all the forces acting on a body of mass is zero, the body has zero acceleration (that is, the body's centre of mass moves with constant velocity).In a similar fashion, if the net torque on a body is zero, the body has zero angular acceleration (that is, the body's angular velocity remains constant). This is the condition for rotational equilibrium.
What is mean sum of all torque on the object must be zero in cindition of equilibrrium?
In a condition of equilibrium, the sum of all torques acting on an object must be zero because torque is responsible for rotation. If the total torque is not balanced (i.e., not zero), the object will start rotating. By ensuring that the sum of all torques is zero, we guarantee that the object stays in a stable, balanced position without any rotational movement.
