- 1 What is moment arm of a muscle?
- 2 What happens when torque is zero?
- 3 What is Torque in physics class 11?
- 4 What is torque equal to?
- 5 What is radius of gyration Class 11?
- 6 What is the formula of radius of gyration 1 point?
- 7 What is the least radius of gyration?
- 8 What is SI unit of radius of gyration?
- 9 Can radius of gyration be zero?
- 10 What is the unit of strain?
- 11 What is the formula of radius of gyration Mcq?
- 12 What is the unit of mass moment of inertia?
- 13 What is moment of inertia Mcq?
- 14 How do you find the radius of gyration?
- 15 What is radius of gyration in simple words?
- 16 How do you find the lowest radius of gyration?
- 17 On what factors does radius of gyration depends?
- 18 Does radius of gyration depends on angular velocity?
- 19 Does the radius of gyration depends upon the speed of rotation of the body?
- 20 Is radius of gyration a constant quantity?
- 21 Is radius of gyration a vector quantity?
- 22 What is the difference between moment of inertia and mass?
- 23 What is moment of inertia of a solid sphere about its diameter?
What is moment arm of a muscle?
The moment arm of a muscle force is defined by the perpendicular distance between the muscle’s line of action and the instantaneous centre of rotation of the joint in which it spans, and represents the capacity of that muscle to exert a joint torque (Pandy, 1999).
What happens when torque is zero?
Because there is no net torque acting on an object in equilibrium, an object at rest will stay at rest, and an object in constant angular motion will stay in angular motion. Because the net torque is equal to zero, the torques in Example 1 are balanced and acting in equilibrium.
What is Torque in physics class 11?
Torque is the measure of the force that can cause an object to rotate about an axis. Hence, torque can be defined as the rotational equivalent of linear force. The point where the object rotates is called the axis of rotation. In physics, torque is simply the tendency of a force to turn or twist.
What is torque equal to?
Torque is the twisting force that tends to cause rotation. Mathematically, torque can be written as T = F * r * sin(theta), and it has units of Newton-meters. When the sum of all torques acting on an object equals zero, it is in rotational equilibrium.
What is radius of gyration Class 11?
Radius of gyration is generally defined as the distance from the axis of rotation to a point where total mass of any body is supposed to be concentrated, so that the moment of inertia about the axis may remain same. Simply, gyration is the distribution of the components of an object.
What is the formula of radius of gyration 1 point?
Mechanics: Here radius of gyration about an axis of rotation is calculated using mass moment of inertia and its formula is given by relation, k=√IM(1) (1) k = I M This equation (1) is the radius of gyration formula for mass moment of inertia.
What is the least radius of gyration?
The smallest value of the radius of gyration is used for structural calculations as this is the plane in which the member is most likely to buckle. Square or circular shapes are ideal choices for columns as there is no smallest radius of gyration. They have the same value because the radius is constant.
What is SI unit of radius of gyration?
SI unit of Radius of gyration is meter.
Can radius of gyration be zero?
It is not zero, but only a minimum when axis is passing through CM. This is because there are particles of physical mass that are away from the mathematically defined line axis through CM, as ∫r2dm=k2m.
What is the unit of strain?
The unit for strain in the SI (Système International) is “one” i.e. 1 ε= 1 = 1 m/m. In practice, the “unit” for strain is called “strain” and the symbol e is used.
What is the formula of radius of gyration Mcq?
Explanation: The radius of gyration of a body about an axis is a distance such that its square multiplied by the area gives moment of inertia of the area about the given axis. The formula of radius of gyration is given as k2 = I/A.
What is the unit of mass moment of inertia?
The unit of moment of inertia is a composite unit of measure. In the International System (SI), m is expressed in kilograms and r in metres, with I (moment of inertia) having the dimension kilogram-metre square.
What is moment of inertia Mcq?
Moment of Inertia is the integration of the square of the distance of the centroid and the del area along the whole area of the structure.
How do you find the radius of gyration?
When seen with respect to the moment of inertia, the radius of gyration is calculated as the perpendicular distance taken from the rotational axis to a specific point mass. This provides inertia equivalent to the original object. If a body has n particles, each of them has mass m. Here mn is M or total body mass.
What is radius of gyration in simple words?
Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body’s actual distribution of mass, if the total mass of the body were concentrated there.
How do you find the lowest radius of gyration?
From Equation 1.8, the moment of inertia about the y-axis used to compute the minimum radius of gyration for a rectangular cross section is Iy = HB3/12.
On what factors does radius of gyration depends?
The radius of gyration does not depend on the total mass of a body but depends upon the shape and size of body-distribution of mass within the body and choice of rotation of axis.
Does radius of gyration depends on angular velocity?
Solution : We know that K=√IM,I∝M hence radius of gyration does not depends upon mass of the body. A uniform rod of length l is spinning with an angular velocity ω=2vl while its centre of mass moves with a velocity v.
Does the radius of gyration depends upon the speed of rotation of the body?
Radius of gyration of a body is not affected by speed of the body.
Is radius of gyration a constant quantity?
No, radius of gyration of a body depends on axis of rotation and also on distribution of mass of the body this axis. …
Is radius of gyration a vector quantity?
Since, the r adius of gyration of a body is defined about its axis of rotation it will change if we change the axis of rotation of the object. It is a scalar quantity.
What is the difference between moment of inertia and mass?
Mass is one type of inertia. Inertia is a general term for an object’s resistance against acceleration (or against change in its velocity). In linear (translational) cases, the inertia is called mass m. In rotational cases, the inertia is called moment of inertia I=∑mr2.
What is moment of inertia of a solid sphere about its diameter?
Moment of inertia of solid sphere about its diameter is I. Hint: Moment of Inertia (M.I.) of the solid sphere along its diameter is I=2MR25.As this sphere is recast into 8 smaller spheres hence the mass of smaller spheres is M8. As the material of both the materials is the same thus density remains the same.