## What is instantaneous center of velocity?

Instantaneous Center of Velocity (ICV): Any point on a rigid body or on its extension that has zero velocity is called the Instantaneous Center of Velocity of the body. Assuming one knows the ICV of a body, one can calculate the velocity of any point A on the body using the equation and recognizing that be definition .

## What is Kennedy’s Theorem?

KENNEDY’S THEOREM If three bodies have plane motion relative to one another, then there are three instant centers, and the three instant centers all lie on the same line. Using Circle Diagrams for Locating Instant Centers 1.

**What is the use of instantaneous center?**

The instant center is an imaginary point that allows for a mathematical “shortcut” in calculating these unknowns. The instant center is also called the instantaneous center of zero velocity (IC). It lies on an imaginary axis of zero velocity, about which the body appears to rotate at a given instant.

**What is instantaneous Centre of rotation What are the different types of instantaneous Centres?**

The first two types i.e. fixed and permanent instantaneous centres are together known as primary instantaneous centres. The third type is known as secondary instantaneous centres.

### What are the properties of the instantaneous center?

1. A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered. 2. The two rigid links have no linear velocity relative to each other at the instantaneous centre.

### How velocity analysis is done using instantaneous centre method?

Instantaneous centre method. In order to determine the relative motion of the ends of a link, one of the ends is assumed to be moving relative to the other end. direction such that the end B rotates relative to A. Then the direction of relative motion of B with respect to A is perpendicular to AB.

**What is Aronhold Kennedy’s Theorem?**

Aronhold Kennedy (or Three Centres in Line) Theorem The Aronhold Kennedy’s theorem states that “if three bodies move relatively to each other, they have three instantaneous centres and lie on a straight line”.

**What is instantaneous center of rotation (ICR)?**

The instantaneous center of rotation is the point about which “the whole body” is performing pure rotational motion, so the ICR of each individual point of that body will be the same as the ICR for the entire body. To find this ICR, I think this image from wikipedia says it all: ” Pole-object-A1-A2 ” by VanBuren – Own work.

#### What is the instant center of motion?

It lies on an imaginary axis of zero velocity, about which the body appears to rotate at a given instant. This axis is always perpendicular to the plane of motion. There are three basic cases to consider when solving problems using the instant center approach.

#### Does any motion of a body in a plane have instantaneous axis?

In the case of motion of a body in a plane,the axis intersects the given plane in a point which we can call the instantaneous centre of rotation.Even in the case if doesn’t intersect,we say the centre of rotation is at infinity. So,yes any motion of a body in a plane has an instantaneous axis of rotation.

**What is the instantaneous center of curvature?**

Therefore, the ICR is the instantaneous center of curvature. In the 2D case each point (let’s call it A) on the rigid body has two velocity components ( v x, v y) and the body itself rotates by ω. The location of the ICR relative to A is.