What if the perpendicular distance from the axis is infinity?a)The rot...
The long distance means a huge force which one needs to apply. Because distance increased will also increase the resistance inertia which will obviously increase the force required for the rotation. Though we know that the larger the distance the small is the force applied for rotation. But inertia must be taken into the considerations some times.
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What if the perpendicular distance from the axis is infinity?a)The rot...
Perpendicular Distance from the Axis
When considering rotational motion, the perpendicular distance from the axis of rotation to the line of action of the force is an important factor. This distance is commonly referred to as the lever arm or moment arm.
In the given scenario, if the perpendicular distance from the axis is infinity, it means that the line of action of the force is parallel to the axis of rotation and does not intersect it. This situation has certain implications for the rotational motion.
Explanation
a) The rotation is not possible: This option is incorrect because rotation is still possible even if the perpendicular distance from the axis is infinity. However, the nature of the rotation and the resulting moment generated will be affected.
b) The rotation is possible but the moment generated is very less: This option is also incorrect. Although the moment generated may be influenced by the perpendicular distance, the value of the distance itself being infinity does not necessarily mean that the moment will be very less. The moment depends on the magnitude of the force and the lever arm.
d) No rotation unless the contact is being broken: This option is incorrect as well. The contact between the object and the axis does not need to be broken for rotation to occur. As long as there is a force acting on the object and a moment arm, rotation can take place.
c) The force applied will be very much high for even a small rotation: This option is the correct answer. When the perpendicular distance from the axis is infinity, the force required for rotation to occur will be very high even for a small rotation. This is because as the lever arm increases, the required force also increases to produce the same amount of moment.
Conclusion
In summary, when the perpendicular distance from the axis is infinity, the force applied to achieve even a small rotation will be very high. This is due to the inverse relationship between the lever arm and the force required to produce a certain moment. The option (c) is the correct answer based on this understanding.