Introduction to Mechanisms Yi Zhang with Susan Finger Stephannie Behrens Table of Contents 1 Physical Principles This chapter introduces the basic physical principles behind mechanisms as well as basic concepts and principles required for this course. 1.1 Force and Torque 1.1.1 Force Force: an agent or influence that‚ if applied to a free body results chiefly in an acceleration of the body and sometimes in elastic deformation and other effects. Every day we deal with forces
Premium Classical mechanics Mass Force
does the slope of velocity – time graph give? (a) Distance (c) Acceleration (b) displacement (d) Change in velocity. [1] 2. The displacement of the body can be(a) Positive (c) Zero (b) negative (d) All of these. [1] 3. Which of the following gives both direction and magnitude(a) scalar (c) Both (b) vector (d) None. [1] 4. If a moving body comes to rest‚ then its acceleration is(a) Positive (c) Zero (b) negative (d) All of these depending upon initial velocity. [1] 5.
Premium Velocity Acceleration
to give you wide understanding on the different concepts regarding Constant and Uniformly Accelerated Motion. Upon finishing the SIM‚ the reader is expected to: • identify the motion of an object in terms of distance or displacement‚ speed or velocity‚ and acceleration UNDESPICABLE MECHANICS CHANICS GUIDE CARD ACTIVITY CARD ENRICHMENT CARD ASSESSMENT CARD REFERENCE CARD UNDESPICABLE MECHANICS GUIDE CARD The Guide card presents the big picture‚ I’ll give you the overview
Premium Acceleration Classical mechanics Velocity
Motion. 4. Curvilinear Motion. 5. Linear Displacement. 6. Linear Velocity. 7. Linear Acceleration. 8. Equations of Linear Motion. 9. Graphical Representation of Displacement with respect to Time. 10. Graphical Representation of Velocity with respect to Time. 11. Graphical Representation of Acceleration with respect to Time. 12. Angular Displacement. 13. Representation of Angular Displacement by a Vector. 14. Angular Velocity. 15. Angular Acceleration 16. Equations of Angular Motion. 17. Relation
Premium Gear Classical mechanics Torque
the earth curves downward by approximately 5 metres over 8000 metres along the horizon‚ satellites launched with a horizontal speed of 8000 m/s can take orbit. At this speed‚ thanks to earth’s curved surface and a satellite’s constant horizontal velocity‚ the satellites‚ which are in free fall once projected‚ keep falling toward the earth‚ but always miss it. Thus‚ under the influence of gravity‚ satellites maintain motion in a circular pattern at a uniform speed. Most satellites are launched
Free Force Classical mechanics General relativity
Have you ever ridden on a rollercoaster and felt your heart drop as you were going downhill? Have you asked yourself how getting these feelings were possible? The answer is math. You may ask what math has to do with rollercoasters. Math is the reason for everything and anything that has to do with rollercoasters. Without math‚ it would be impossible to even be able to create one. To build a rollercoaster you need to be able to use numbers when talking about the costs‚ taking measurements‚ calculating
Premium Potential energy Kinetic energy Roller coaster
just need to find the time. We find the time‚ by applying the average velocity formula to both parts of the journey‚ and solving for time. Δt1 = Δx1/ Vavg ‚ 1 = 30/60 = 0.5 hours Δt2 = Δx2/ Vavg ‚ 2 = 30/30 = 1.0 hours Vavg = Δx/Δt = (30 + 30) / (0.5 + 1.0) Vavg = 40 mi/hr Questions 2 – 4 relate to two particles that start at x = 0 at t = 0 and move in one dimension independently of one another. Graphs‚ of the velocity of each particle versus time are shown below Particle A Particle B
Premium Velocity Speed Miles per hour
Write ib unit. velocity’ bi I)t"* velocity-time graPh‚ when an obiect has (i) unifortdy accelerated (ii) uniformly retarded velocity. fror" that if u Uoayi" thrown ve*ically upwatd‚ the time of ascent is equal to the time ffi of descent. Th;;r*h .ttracts the moon. Does the moon also attract the earth ? If it does‚ why does ttre earth not move towards the moon ? 6) A bullet of mass 1‚0 g is fired with a velocity of 400 m/s from a gun of mass 4 kg’ What is ‚‚xldge recoil velocity of the gun
Premium Mass Velocity Classical mechanics
line along a road. It’s distance x from a stop sign is given as a function of time t by the equation‚ where and. Calculate the velocity of the car for each of the time given: (a) t = 2.00s; (b) t = 4.00s; (c) What will be the time when the acceleration is equal to zero? Solution: By getting the derivative of the distance as a function of time we can get the velocity as a function of time. Substitute the values of α and β a) Given t = 2.00s b)
Premium Derivative Velocity Calculus
Equations of Motion Worksheet 1. A car moving at a velocity of 25 m/s‚ accelerates at a rate of 6 m/s2. Find its velocity after 3s. 2. An object is dropped from rest. Calculate its velocity after 2.5s if it is dropped: a. On Earth‚ where the acceleration due to gravity is 9.8m/s2. b. On Mars‚ where the acceleration due to gravity is 3.8m/s2. 3. A motorbike is travelling with a velocity of 3m/s. It accelerates at a rate of 9.3m/s for 1.8s. Calculate the distance it travels in this time. 4. A Tesla
Premium Acceleration Velocity Kinematics