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Linear Impulse/Momentum for Rigid Bodies in a Plane

Example: The figure below shows a body of mass m translating to the right on a horizontal

plane as a result of a force, F, acting at an angle θ on the body. The body starts from rest.

The following data applies: F = 4 t lb, m = 2slugs, θ = 30^o. Find the velocity of the body

after 2 seconds.

Recall the principle of Linear Impulse and Momentum as follows:

t₂

∫ Σ F dt = m v_c2 - m v_c1

t₁

Strategy:

Step 1: Draw free body diagrams showing all forces acting on the body.

Step 2: Calculate the linear impulse acting on the body.

Step 3: Calculate the change in linear momentum of the body.

Step 1:

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