Dynamics-Ch12.4

In curvilinear motion, the direction of the instantaneous velocity is always

• tangent to the hodograph.

• perpendicular to the hodograph.

• tangent to the path.

• perpendicular to the path.

In curvilinear motion, the direction of the instantaneous acceleration is always

• tangent to the hodograph.

• perpendicular to the hodograph.

• tangent to the path.

• perpendicular to the path.

If a particle has moved from A to B along the circular path in 4s, what is the average velocity of the particle?

• 2.5 i m/s

• 2.5 i +1.25 j m/s

• 1.25 pi() i m/s

• 1.25 pi() j m/s

If the position of a particle is defined by r = [(1.5t² + 1) i + (4t – 1) j ] (m), its speed at t = 1 s is ________.

• 2 m/s

• 3 m/s

• 5 m/s

• 7 m/s

The path of a particle is defined by y = 0.5x². If the component of its velocity along the x-axis at x = 2 m is

v_x = 1 m/s, its velocity component along the y-axis at this position is ____.

• 0.25 m/s

• 0.5 m/s

• 1 m/s

• 2 m/s