Question

If applicable, the method of instantaneous center can be used to determine the __________ of any point on a rigid body.

Answer 1

Velocity and Acceleration

Step-by-step explanation:

- Instantaneous center (IC) of rotation in plane motion of a rigid body or a composite body is used to determine an imaginary point A in planar space R2. All the composing bodie(s) undergo rotation with constant angular speed (w) which is at a distance (r) from the IC. The absolute velocity of any point of the rigid body is given by:

v = r*w

- As the body undergoes planner motion, the IC is fixed whether located on the body or not . All the velocity vectors of all the other points perform a rotation.

- The tangential acceleration reduce to zero and only centripetal acceleration exists.

- Hence, the method of IC can be used to determine absolute velocity (v) and centripetal acceleration (ac).

Answer 2

velocity and acceleration

Step-by-step explanation:

The method of instantaneous center of rotation in plane motion is used in determining an imaginary point D, with respect to which all the particles of the rigid object rotate at the same angular velocity ω. Using this concept can be determined the absolute velocity of any point of the rigid body.

As the body undergoes planner motion, the fixed point on the body does not move at an instant. All the velocity vectors of all the other points perform a rotation.

The velocity of the points on the rigid body can be calculated, but the acceleration is fixed. The only acceleration it possesses is the centrifugal acceleration. The tangential acceleration is zero.

Therefore, the method of instantaneous center can be used to determine the velocity and acceleration of any point on a rigid body.