8.012 Physics I: Classical Mechanics MIT OpenCourseWare rms of Use, visit: .
... A cylinder of mass M, length L and radius R is spinning about its long axis with angular velocity on a frictionless horizontal surface. The cylinder is given a sharp, horizontal strike with impulse Δp at a distance r from its center of mass (COM). Assume that constant gravitational acceleration acts ...
... A cylinder of mass M, length L and radius R is spinning about its long axis with angular velocity on a frictionless horizontal surface. The cylinder is given a sharp, horizontal strike with impulse Δp at a distance r from its center of mass (COM). Assume that constant gravitational acceleration acts ...
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... three-quarters circle. A golf ball is pushed into the tube at one end at high speed. The ball rolls through the tube and exits at the opposite end. Describe the path of the golf ball as it exits the tube. The ball will move along a path which is tangent to the spiral at the point where it exits the ...
... three-quarters circle. A golf ball is pushed into the tube at one end at high speed. The ball rolls through the tube and exits at the opposite end. Describe the path of the golf ball as it exits the tube. The ball will move along a path which is tangent to the spiral at the point where it exits the ...
Inertial and Non-Inertial Frames of Reference - K
... (which is an inertial frame of reference) the ball just continues to move forward at the speed it was already going, and it’s motion is easily explained by the law of inertia. To an observer in the inertial frame of reference (the ground) the bus experiences a net force causing it to decelerate. The ...
... (which is an inertial frame of reference) the ball just continues to move forward at the speed it was already going, and it’s motion is easily explained by the law of inertia. To an observer in the inertial frame of reference (the ground) the bus experiences a net force causing it to decelerate. The ...
Newtons` second law is customarily presented to beginning students
... 1. Introduction. Center of gravity, center of mass, this concept seems very familiar. Indeed, many people including students of science have used the phrase in daily conversation. Yet, “what is the center of mass?”, and of more concern, what are its properties? We explore these ideas in the attempt ...
... 1. Introduction. Center of gravity, center of mass, this concept seems very familiar. Indeed, many people including students of science have used the phrase in daily conversation. Yet, “what is the center of mass?”, and of more concern, what are its properties? We explore these ideas in the attempt ...
Chapter 9 Linear Momentum and Collisions
... Time of collision is short enough that external forces may be ignored Inelastic collision: momentum is conserved but kinetic energy is not Completely inelastic collision: objects stick ...
... Time of collision is short enough that external forces may be ignored Inelastic collision: momentum is conserved but kinetic energy is not Completely inelastic collision: objects stick ...
Lecture Outline
... The physical pendulum • A physical pendulum is any real pendulum that uses an extended body instead of a point-mass bob. • For small amplitudes, its motion is simple harmonic. (See Figure 14.23 at the right.) • Follow Example 14.9. ...
... The physical pendulum • A physical pendulum is any real pendulum that uses an extended body instead of a point-mass bob. • For small amplitudes, its motion is simple harmonic. (See Figure 14.23 at the right.) • Follow Example 14.9. ...
5. Systems of Particles
... But it only changes because the position of the particle changes, not because the potential function itself is changing). 5.1.5 Why the Two Body Problem is Really a One Body Problem Solving the dynamics of N mutually interacting particles is hard. Here “hard” means that no one knows how to do it unl ...
... But it only changes because the position of the particle changes, not because the potential function itself is changing). 5.1.5 Why the Two Body Problem is Really a One Body Problem Solving the dynamics of N mutually interacting particles is hard. Here “hard” means that no one knows how to do it unl ...
1 Speed of light is the maximal possible speed 2 Adding velocities
... v > c, even worse things happen: 1 − v 2 /c2 becomes less then zero, and then its square root does not exist! (or becomes purely imaginary, if you know what I am talking about). This suggests that perhaps it is not possible for any object to move faster than light. And perhaps it is not possible to ...
... v > c, even worse things happen: 1 − v 2 /c2 becomes less then zero, and then its square root does not exist! (or becomes purely imaginary, if you know what I am talking about). This suggests that perhaps it is not possible for any object to move faster than light. And perhaps it is not possible to ...
Getting mathematical - Teaching Advanced Physics
... These graphs can be represented by equations. For displacement: x = A sin 2ft or x = A sin t f is the frequency of the oscillation, and is related to the period T by f = 1/T. The amplitude of the oscillation is A. Velocity: v = 2f A cos 2ft = A cos t Acceleration: a = - (2f)2 A sin 2ft = - ...
... These graphs can be represented by equations. For displacement: x = A sin 2ft or x = A sin t f is the frequency of the oscillation, and is related to the period T by f = 1/T. The amplitude of the oscillation is A. Velocity: v = 2f A cos 2ft = A cos t Acceleration: a = - (2f)2 A sin 2ft = - ...
Newton’s Laws of Motion
... All objects were classified into categories of earth, water, air, or fire. “Natural motion” occurred when an object sought to return to its “natural place” after being moved from it by some type of “violent motion.” ...
... All objects were classified into categories of earth, water, air, or fire. “Natural motion” occurred when an object sought to return to its “natural place” after being moved from it by some type of “violent motion.” ...
IB Phys Y1
... Define the concepts of distance, position, displacement, speed, velocity and acceleration for the motion of objects. Explain the difference between instantaneous and average values of speed, velocity and acceleration. Outline the conditions under which the equations for uniformly accelerated motion ...
... Define the concepts of distance, position, displacement, speed, velocity and acceleration for the motion of objects. Explain the difference between instantaneous and average values of speed, velocity and acceleration. Outline the conditions under which the equations for uniformly accelerated motion ...
Q8188
... performance factors when the system shows a negative stiffness. The floor displacement is maximum for without retrofitted building frame as compared to retrofitted building frame. In building using shear walls, floor displacement is minimum for shear wall placed at corner then at intermediate and co ...
... performance factors when the system shows a negative stiffness. The floor displacement is maximum for without retrofitted building frame as compared to retrofitted building frame. In building using shear walls, floor displacement is minimum for shear wall placed at corner then at intermediate and co ...
Centripetal acceleration
... Why does the formula for centripetal acceleration that we just wrote down have the square of the speed in the numerator, and not just the speed? One way to see this is using what is called dimensional analysis. In essence, you check the units on both sides of the equation and the units match if the ...
... Why does the formula for centripetal acceleration that we just wrote down have the square of the speed in the numerator, and not just the speed? One way to see this is using what is called dimensional analysis. In essence, you check the units on both sides of the equation and the units match if the ...
Slide 1
... Two masses are vertically hanging on either side of a small frictionless pulley (this is called an Atwood machine). One of the objects has three kilograms of mass. What is the mass of the other object if it is stationary? What is the mass of the other object if it is moving at a constant speed down ...
... Two masses are vertically hanging on either side of a small frictionless pulley (this is called an Atwood machine). One of the objects has three kilograms of mass. What is the mass of the other object if it is stationary? What is the mass of the other object if it is moving at a constant speed down ...
AP physics final AP test review Mechanics
... Since speed of object remains constant, kinetic energy remains constant, and work is zero. Friction, tension, normal force, gravity and the magnetic force are common forces that can act centripetally to cause uniform circular motion. 26. Centripetal Force (A-184 #46) A car initially travels north an ...
... Since speed of object remains constant, kinetic energy remains constant, and work is zero. Friction, tension, normal force, gravity and the magnetic force are common forces that can act centripetally to cause uniform circular motion. 26. Centripetal Force (A-184 #46) A car initially travels north an ...