The conditions that the sum of forces and the sum of the torques both vanish are known as the conditions for equilibrium.

1. The sum of forces is zero: This is known as the first condition of equilibrium. It states that for a body to be in equilibrium, the vector sum of all forces acting on it must be zero. This is a result of Newton's first law of motion, which states that an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. If the sum of all forces is zero, there is no unbalanced force.

2. The sum of torques is zero: This is known as the second condition of equilibrium. It states that for a body to be in equilibrium, the sum of all torques (or moments) about any point must be zero. This is because if there was a net torque, the body would start to rotate.

These conditions can be represented mathematically as:

∑F = 0 (sum of all forces is zero)
∑τ = 0 (sum of all torques is zero)

These two conditions are necessary for a body to be in equilibrium, i.e., the body is either at rest or its center of mass moves with constant velocity, and it has no rotation or rotates with constant angular velocity.

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The conditions that the sum of forces and the sum of the torques both vanish are known as the conditions for equilibrium.

1. The sum of forces is zero: This is known as the first condition of equilibrium. It states that for a body to be in equilibrium, the vector sum of all forces acting on it must be zero. This is a result of Newton's first law of motion, which states that an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. If the sum of all forces is zero, there is no unbalanced force.

2. The sum of torques is zero: This is known as the second condition of equilibrium. It states that for a body to be in equilibrium, the sum of all torques (or moments) about any point must be zero. This is because if there was a net torque, the body would start to rotate.

These conditions can be represented mathematically as:

∑F = 0 (sum of all forces is zero)
∑τ = 0 (sum of all torques is zero)

These two conditions are necessary for a body to be in equilibrium, i.e., the body is either at rest or its center of mass moves with constant velocity, and it has no rotation or rotates with constant angular velocity.

Knowee AI · Accepted Answer

The conditions that the sum of forces and the sum of the torques both vanish are known as the conditions for equilibrium.

1. The sum of forces is zero: This is known as the first condition of equilibrium. It states that for a body to be in equilibrium, the vector sum of all forces acting on it must be zero. This is a result of Newton's first law of motion, which states that an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. If the sum of all forces is zero, there is no unbalanced force.

2. The sum of torques is zero: This is known as the second condition of equilibrium. It states that for a body to be in equilibrium, the sum of all torques (or moments) about any point must be zero. This is because if there was a net torque, the body would start to rotate.

These conditions can be represented mathematically as:

∑F = 0 (sum of all forces is zero)
∑τ = 0 (sum of all torques is zero)

These two conditions are necessary for a body to be in equilibrium, i.e., the body is either at rest or its center of mass moves with constant velocity, and it has no rotation or rotates with constant angular velocity.

The conditions that the sum of forces and the sum of the torques both vanish:

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