Kinematics, kinetics, work and energy, impulse and momentum, rigid body motion, free and forced vibration and damping.
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- In kinematics, what is velocity?
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The time rate of change of position, or the first derivative of position with respect to time (v = dx/dt).- In kinematics, what is acceleration?
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The time rate of change of velocity, or the second derivative of position with respect to time (a = dv/dt).- What is the kinematic equation for velocity under constant acceleration?
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v = v0 + at, where v0 is initial velocity, a is acceleration, and t is time.- What is the kinematic equation for displacement under constant acceleration?
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s = v0*t + (1/2)*a*t^2, where s is displacement, v0 is initial velocity, a is acceleration, and t is time.- What kinematic equation relates velocity, acceleration, and displacement without time?
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v^2 = v0^2 + 2*a*s, where v and v0 are final and initial velocities, a is acceleration, and s is displacement.- What is relative velocity?
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The velocity of one object as measured from another moving object's reference frame, the vector difference of their velocities.- How is angular velocity defined?
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The time rate of change of angular position, measured in radians per second (omega = d(theta)/dt).- How is angular acceleration defined?
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The time rate of change of angular velocity, measured in radians per second squared (alpha = d(omega)/dt).- State Newton's first law of motion.
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An object at rest remains at rest, and an object in motion remains in motion at constant velocity, unless acted upon by a net external force.- State Newton's second law of motion.
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The net force on an object equals its mass times its acceleration (F_net = m*a).- State Newton's third law of motion.
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For every action force, there is an equal and opposite reaction force acting on a different object.- What is torque or moment?
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A rotational force, defined as the cross product of the position vector and force vector (tau = r x F), with magnitude tau = r*F*sin(theta).- What is the purpose of a free body diagram?
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To identify and isolate all forces and moments acting on an object in order to apply Newton's laws correctly.- Define work in mechanics.
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The product of a force and the displacement in the direction of that force (W = F*s*cos(theta)), measured in joules.- What is the formula for kinetic energy?
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KE = (1/2)*m*v^2, where m is mass and v is velocity.
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