5. Use calculus to explain why the rotation velocity of a point on the perimeter of a wheel is the same as the velocity of the pedal. Use examples to support your answer.
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
Please only do 5
![Velocity Task
Introduction: The pedal of a bicycle is attached to a crank arm that revolves when the
pedal is pushed by a person's foot. As the crank arm turns, it pulls a chain that is
attached to the rear wheel of the bicycle, causing the bicycle to move forward.
O
18 cm
16 cm
A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank arm
is 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedaling
the bicycle such that the crank arm rotates once every second.
Questions:
1. Write an equation that models the vertical position of the foot with respect to the
ground, starting from the lowest point, as the crank arm turns.
2. What is the rate of change of the vertical position of the foot when it is at the
midline? Explain your answer
3. How fast, in kilometres per hour, is the bicycle moving?
4. Determine an equation that would model the foot's position when the cyclist is
traveling 5 km/h. Compare this equation to your equation from question 1 and
explain any differences.
5. Use calculus to explain why the rotation velocity of a point on the perimeter of a
wheel is the same as the velocity of the pedal. Use examples to support your
answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc710949-8d43-4996-bbfe-36af80572147%2F2cfba30f-60ca-4b41-9128-b5c774bfb44a%2Fw93mmwr_processed.jpeg&w=3840&q=75)
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