Center of Gravity and Torque

Which statement is correct regarding the center of gravity?

The center of gravity of an object will always be located within the object's physical boundaries.

When a body is suspended, where does its center of gravity lie in relation to the point of suspension?

For an irregular lamina, the center of gravity is found where the maximum number of lines ______.

Match each shape with the location of its center of gravity:

Which of the following scenarios best exemplifies a 'couple' as described in the content?

According to the convention described, a clockwise moment is considered positive.

What is the standard S.I. unit for torque?

The magnitude of the moment of a couple is calculated by multiplying either force by the ______.

Match each action with its corresponding effect relating to forces and motion.

A seesaw is balanced perfectly. If a heavier person sits closer to the center, how does this affect the torque on their side relative to the other side?

Applying a force directly through the pivot point of an object will result in rotational motion.

Describe two factors that affect torque and explain how each influences the magnitude of the torque.

A wrench is used to tighten a bolt. The force applied at the end of the wrench creates a(n) __________, which turns the bolt.

Match the following terms with their descriptions:

A beam is subjected to several forces, and the algebraic sum of the moments about a central axis is zero. What can be concluded about the beam?

Briefly explain the principle of moments in the context of rotational equilibrium.

A physical balance operates based on the principle of ______.

In an experiment to verify the principle of moments using a meter rule, what adjustment ensures the rule is balanced and horizontal?

Which of the following best describes the concept of dynamic equilibrium?

The center of gravity of an object is the point where its entire mass is concentrated.

Define the center of gravity of an object.

An airplane flying at a constant height is an example of dynamic equilibrium because the upward lift balances its weight acting ________.

Match the following objects with their approximate center of gravity location:

Which of the following statements is always true regarding the center of gravity?

The plumb-line method, using five holes on the edge of the lamina, guarantees the precise location of the center of gravity for any irregular shape.

How does changing the shape of a body affect its center of gravity, and why?

For an object to be in stable equilibrium, its center of gravity should be as ______ as possible.

Match the following objects with the most likely location of their center of gravity:

A seesaw is perfectly balanced with two people of different weights sitting on it. If the pivot point is considered the axis of rotation, which condition for equilibrium is primarily demonstrated?

For an object to be in equilibrium, it is sufficient for the sum of all forces acting on it to be zero.

A bridge is designed such that the total force acting downwards (gravity) is balanced by the support forces from its pillars. However, engineers must also consider what other factor to ensure the bridge's stability?

The principle of moments states that for a body to be in rotational equilibrium under the influence of several forces, the algebraic sum of the ______ of all forces about the pivot point must be zero.

A uniform beam is supported at both ends. A weight is placed on the beam, closer to one support than the other. Which statement accurately describes the forces and moments in this system?

Which of the following scenarios best exemplifies a couple, as defined in physics?

A couple can produce translational motion because the forces are equal and opposite, thus cancelling each other out.

Explain why a couple results in rotational motion rather than translational motion.

The moment of a couple is calculated by multiplying either force by the ______ ______.

Match the following actions with the physics concept they primarily demonstrate:

A mechanic is trying to loosen a bolt using a wrench. Which action would maximize the moment of force applied to the bolt?

If an object is in equilibrium, it means that it is not moving.

A uniform meter stick is balanced at its midpoint. If a weight is placed at the 20 cm mark, where would you need to place an equal weight to re-establish equilibrium?

The center of gravity of an object is the point through which the entire ______ of the object appears to act.