LEARNING OBJECTIVE : 7.1 Describe simple harmonic motion. In the last section, we derived kinematical equations describing simple harmonic motion as well as Newton’s law equivalent describing the relationship between restoring force and acceleration. The presence of restoring force is an essential ingredient for a body to perform simple harmonic motion. We will now explore how to start such a...
LEARNING OBJECTIVE: 7. 3 Describe the displacement, velocity, and acceleration of an object exhibiting SHM. As described in previous section the force and acceleration of a body of mass m performing SHM can be related as : $F = m a = – kx$, hence $a = – \frac{k}{m} x = – 4 \pi^2f^2 x $ This means we can find the frequency of the vibration from the force equation as...
LEARNING OBJECTIVE : 3.5.A Power is the rate at which energy changes with respect to time, either by transfer into or out of a system or by conversion from one type to another within a system. We introduced the meaning and basic definition of power in the last section. In this section we will build on the basic definition and arrive at different equations to express and calculate power. Average...
LEARNING OBJECTIVE : 3.9.A - Describe the transfer of energy into, out of, or within a system in terms of Power The time element is not involved in the definition of work. The same amount of work is done in raising a given weight through a given height whether the work is done in one second, or one hour, or one year. Suppose we need to tidy up our lawn. We can use any of the three mowing machines...
LEARNING OBJECTIVE AS PER AP 1.1A.1: Scalars are quantities described by magnitude only; vectors are quantities described by both magnitude and direction. 1.1.A.2: Vectors can be visually modeled as arrows with appropriate direction and lengths proportional to their magnitude. 1.1.A.3: Distance and speed are examples of scalar quantities, while position, displacement, velocity, and acceleration...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.B -Explain how a net force in the centripetal direction can be a single force, more than one force, or even components of forces that are acting on an object moving in circular motion. So far, we have covered all the mathematics...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.A -Calculate relationships among the radius of a circle, the speed of an object (or period of revolution), and the magnitude of centripetal acceleration for an object moving in uniform circular motion. When an object performs a uniform...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.C -Calculate the velocity of an object moving in a horizontal circle with a constant speed, when subject to a known centripetal force. In a case of uniform circular motion, an object moves with constant speed v along the circumference...
LEARNING OBJECTIVE 3.A.1.1 - Express the motion of an object using narrative, mathematical, and graphical representations. AP MECHANICS -C LEARNING OBJECTIVE INT 2.C -Describe the direction of the velocity and acceleration vector for an object moving in two dimensions, circular motion One of the most interesting applications of Newton’s Law is to solve problems related to the motion of an...
LEARNING OBJECTIVE 3.3.A - Describe the potential energy of a system. AP MECHANICS -C LEARNING OBJECTIVE CON 1.D -Derive the expression for the potential energy function of an ideal spring. In the last section, we derived an expression to calculate the numerical value of kinetic energy. Let’s now derive expressions for potential energy associated with two of the forces we will be frequently...
