ROTATIONAL MOTION: The Frequency and Period of a Pendulum

Q: How may we derive an expression for the frequency ( f ) and period ( T ) of a pendulum? How does the motion of a rotating radius ( r ) within a unit circle relate to the centripetal or “ center seeking “ force that maintains a simple-pendulum system? A: We begin byContinue reading “ROTATIONAL MOTION: The Frequency and Period of a Pendulum”

KINEMATICS: Matching Equations to Appropriate Circumstances ( Part 1 )

Of all the topics that cause confusion among students new to physics, kinematics is no exception to the rule. Briefly speaking, kinematics can be described as the “ architecture of motion. “ Various types of forces ( F ) and energy ( E ) can give rise to motion observed within a system, whether thatContinue reading “KINEMATICS: Matching Equations to Appropriate Circumstances ( Part 1 )”

FLUIDS: Torricelli’s Theorem and the Conservation of Energy

The Law of Conservation of Energy states that energy can neither be created nor destroyed, but it does have the ability to change forms. Take for example an object of mass ( m ) that has been raised to some arbitrary height ( h ). The work ( W ) done on the object isContinue reading “FLUIDS: Torricelli’s Theorem and the Conservation of Energy”

INTRODUCTION TO ELECTRONICS: Energy and Power ( Part 1 )

Although, energy and power are interrelated concepts, they possess distinct identities of their own. Consider the relatively simple task of inflating a balloon. Blowing a small puff of air into a balloon over a short time-interval will cause the balloon to expand slightly before recoiling to its previous state. Breathing more forcefully into a balloonContinue reading “INTRODUCTION TO ELECTRONICS: Energy and Power ( Part 1 )”

ENERGY AND MOMENTUM: The Joule

The International System of Units ( SI ) uses seven base units to describe seven fundamental quantities that can be measured by scientists: Symbol Name  Base quantity second ( s )     time meter ( m )        length kilogram ( kg )  mass ampere ( A ) electric current kelvin (Continue reading “ENERGY AND MOMENTUM: The Joule”

ROTATIONAL MOTION: At What Rate will the Yo-Yo Accelerate?

Several forces must be taken into account to study the motion of a yo-yo. If we assume a hand to be stationary when a yo-yo begins its descent, a tension force acts upward upon the yo-yo’s string. Opposite to the tension force is the force exerted upon the system by the gravitational force of attractionContinue reading “ROTATIONAL MOTION: At What Rate will the Yo-Yo Accelerate?”

KINEMATICS: Where Will The Daredevil Land?

Q: A stuntman equipped with a parachute rides a bicycle over the edge of a 500.0-meter building. The combined mass of the stuntman and his bicycle is 90.0 kg. If the bike moves at 24.2 m/s as it leaves the building’s edge, at what distance from the building’s base must a cushion be placed inContinue reading “KINEMATICS: Where Will The Daredevil Land?”

FORCE AND ACCELERATION: What is the mass of the climbing acrobat?

Q: Two acrobats, a pulley, and a rope are used in a circus act. Acrobat 1 rapidly climbs one of the suspended lengths of rope at a distance of 16ft in 2 seconds with a constant acceleration. On the opposite length of rope, acrobat 2 is suspended in an attached chair that remains motionless aboveContinue reading “FORCE AND ACCELERATION: What is the mass of the climbing acrobat?”

ENERGY AND MOMENTUM: Stacked Ball Drop, Impulse, and the Galilean Transformation

Q: Three balls of mass m1, m2, and m3 fall together towards the earth. They accelerate until impact, and once the three-ball system collides elastically with the earth’s surface, the balls within the system approach one another with an instantaneous velocity ( v ). The momentum ( p = mv ) = ( m1 +Continue reading “ENERGY AND MOMENTUM: Stacked Ball Drop, Impulse, and the Galilean Transformation”

FORCE AND ACCELERATION: Pulleys, Tension, Friction, and Free-Body Diagrams

Q: Three objects are connected by ropes that pass over massless and frictionless pulleys. As the objects move, the table exerts a force of friction on the middle object. The coefficient of kinetic friction is 0.100. What is the acceleration of the three objects within the system? What is the magnitude of the tension inContinue reading “FORCE AND ACCELERATION: Pulleys, Tension, Friction, and Free-Body Diagrams”