ENGR 215 ~ Dynamics Sections 15.1-15.3. Impulse and Linear Momentum In this section we will integrate the equation of motion with respect to time and.

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Presentation transcript:

ENGR 215 ~ Dynamics Sections

Impulse and Linear Momentum In this section we will integrate the equation of motion with respect to time and thereby obtain the principle of impulse and momentum. The resulting equation will be useful for solving problems involving force, velocity and time.

For example A constant 10 N force acts on a 20 kg block initially at rest for 10 seconds. Determine the final velocity of the block.

Linear Impulse

Lecture Example 1: A constant 10 N force acts on a 20 kg block initially at rest for 10 seconds. Determine the final velocity of the block.

Lecture Example 2: A cannon shoots a 100 g steel ball vertically into the air. It takes 5 sec for the ball to hit the ground. Find the linear impulse (Ns).

Lecture Example 3: Determine the velocity of the blocks after 1 sec if they are released from rest.

Conservation of Linear Momentum The total linear momentum for a system of particles remains constant during a time period t 1 to t 2.

Lecture Example 4: The 5-kg block A has an initial speed of 5 m/s as it slides down a smooth ramp after which it collides with a stationary block B of mass 8 kg. If the block couple together after the collision, determine their common velocity.

Lecture Example 5: The spring is fixed to block A. Block B is pressed against block a such that the spring is compressed 200 mm. Determine the velocity of block B when it loses contact with the spring.