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Steps to solve force problems?

  1. Draw a Free Body Diagram (FBD). 2. Resolve forces into x and y components. 3. Apply Newton's Second Law (ΣF=ma\Sigma F = ma) in each direction. 4. Solve for unknowns.
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Steps to solve force problems?

  1. Draw a Free Body Diagram (FBD). 2. Resolve forces into x and y components. 3. Apply Newton's Second Law (ΣF=ma\Sigma F = ma) in each direction. 4. Solve for unknowns.

How to determine the net force from given position functions x(t) and y(t)?

  1. Find the velocity functions vx(t)=dxdtv_x(t) = \frac{dx}{dt} and vy(t)=dydtv_y(t) = \frac{dy}{dt}. 2. Find the acceleration functions ax(t)=dvxdta_x(t) = \frac{dv_x}{dt} and ay(t)=dvydta_y(t) = \frac{dv_y}{dt}. 3. Evaluate axa_x and aya_y at the specified time t. 4. Calculate the net acceleration a=ax2+ay2a = \sqrt{a_x^2 + a_y^2}. 5. Find the net force using F=maF = ma.

Label the forces in the following Free Body Diagram of a box at rest on a surface.

1: FgF_g (Gravitational Force/Weight) acting downwards, 2: FnF_n (Normal Force) acting upwards.

Label the forces in the following Free Body Diagram of a block being pulled with an applied force at an angle.

1: FappF_{app} (Applied Force) at an angle, 2: FgF_g (Gravitational Force/Weight) down, 3: FnF_n (Normal Force) up, 4: fsf_s (Static Friction) or fkf_k (Kinetic Friction) opposite the direction of motion.

What is the effect of applying an unbalanced force on an object?

The object will accelerate (or decelerate) in the direction of the net force, as described by Newton's Second Law.

What happens when the applied force exceeds the maximum static friction?

The object begins to move, and the friction transitions from static to kinetic.

What is the effect of increasing the normal force on a surface?

It increases both the maximum static friction and the kinetic friction.