AP PHYSICS: Final Speed of a Block / Incline System

Q1 : A mass ( m1 ) of 1.20 kg is situated at the bottom of an incline that is 30o to the horizontal. At the top of the incline, there’s a 0.500 kg disk that is kept fixed by a frictionless axle. A cord is placed over the disk and used to lift aContinue reading “AP PHYSICS: Final Speed of a Block / Incline System”

AP PHYSICS: Pulleys, Torque, Tension, and the Moment of Inertia

Two spherical bearings of mass ( m1 ) and ( m2 ) are attached by belt to a pulley that is situated between them. An electric motor is also attached to the pulley, and it is positioned between these masses. When the motor is turned on, the pulley provides 15.0 N of tension on theContinue reading “AP PHYSICS: Pulleys, Torque, Tension, and the Moment of Inertia”

FORCE AND ACCELERATION: Net Force Exerted on a Ring

Q: How may we determine the net force ( F ) exerted on the ring below? A: We must first reduce the F1 and F2 vectors into their x/y-components: The F1y and F2y components of F1 and F2 oppose the motion of F3. The net force in the y-direction is as follows: Fnety = F2yContinue reading “FORCE AND ACCELERATION: Net Force Exerted on a Ring”

FORCE AND ACCELERATION: 3-4-5 Right-Triangle Mathematics

Q: Two men attempt to pull a box in the diagram below: What is the resultant force in Newtons ( N ) exerted on the box? A: This is a classic question involving a 3-4-5 right triangle. Trigonometry and the Pythagorean Theorem enable us to solve the problem using the numbers 3, 4, and 5.Continue reading “FORCE AND ACCELERATION: 3-4-5 Right-Triangle Mathematics”

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?”

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?”

FORCE AND ACCELERATION: The Sum of all Torques Must Equal Zero

When a system is in static equilibrium, the sum of the forces acting upon the system must equal zero. In the diagram below, forces F1 and F2 exert torques upon the system: Recall that a torque ( 𝛕 = Fr sin θ ) has the ability to make a system rotate, and it is theContinue reading “FORCE AND ACCELERATION: The Sum of all Torques Must Equal Zero”

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”

FORCE AND ACCELERATION: Mechanical Advantage and Tension Within Pulley Systems

The law of conservation of energy states that the total energy of an isolated system remains constant. The SI unit of energy is the joule ( J ), and it’s base-unit composition is kg*m2/s2. Energy is the currency needed to perform work, and work is performed upon an object when an applied force moves itContinue reading “FORCE AND ACCELERATION: Mechanical Advantage and Tension Within Pulley Systems”

CENTRIPETAL FORCE

Q: A 2 kilogram ball is attached to a string that is 10 meters in length. If the tension in the string exceeds 50 Newtons, it will snap. If the ball is swung into rotational motion, what is the maximum speed it can attain and remain intact? A: The tension in the string exerts aContinue reading “CENTRIPETAL FORCE”