Daily Archives: August 16, 2019

573 posts

14.93 … CALC A Spring with Mass. The preceding problems in this chapter have assumed that the springs had negligible mass. But of course no spring is completely massless. To find the effect of the spring’s mass consider a spring with mass M equilibrium length L0 and spring constant k. When stretched or compressed to a length L the potential energy is 12 kx2 where x = L – L0. (a) Consider a spring as described above that has one end fixed and the other end moving with speed v. Assume that the speed of points along the length of the spring varies linearly with distance l from the fixed end. Assume also that the mass M of the spring is distributed uniformly along the length of the spring. Calculate the kinetic energy of the spring in terms of M and v. (Hint: Divide the spring into pieces of length dl; find the speed of each piece in terms of l v and L; find the mass of each piece in terms of dl M and L; and integrate from 0 to L. The result is not 12 Mv2 since not all of the spring moves with the same speed.) (b) Take the time derivative of the conservation of energy equation Eq. (14.21) for a mass m moving on the end of a massless spring. By comparing your results to Eq. (14.8) which defines v show that the angular frequency of oscillation is v = 1k>m. (c) Apply the procedure of part (b) to obtain the angular frequency of oscillation v of the spring considered in part (a). If the effective mass M_ of the spring is defined by v = 1k>M_ what is M_ in terms of M?

University Physics with Modern Physics lessons by JJtheTutor. Designed to teach students problem solving skills, test taking skills and how to understand the concepts.

Horizontally launched projectile | Two-dimensional motion | Physics | Khan Academy

Horizontally launched projectile | Two-dimensional motion | Physics | Khan Academy

In this video David explains how to solve for the horizontal displacement when the projectile starts with a horizontal initial velocity. He also explains common mistakes people make when doing horizontally launched projectile problems. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/launching-and-landing-on-different-elevations?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/different-way-to-determine-time-in-air?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic…

Motion in One Dimension 01: Kinematics For Class 11th

Motion in One Dimension 01: Kinematics For Class 11th

Get Full Course Delivered at your Home: Call-9826023696 Visit our Website: https://www.m-learning.in Mail us at :info@m-learning.in For Online Course: Download our app from Google Play Store and App Store Join Classroom Course at Indore. Kinematics is a branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of…

Class 11 Chapt 03 :Motion in a Straight Line 04 Derivation Of Equations Of Motion Using Integration

Class 11 Chapt 03 :Motion in a Straight Line 04 Derivation Of Equations Of Motion Using Integration

For PDF Notes and best Assignments visit @ http://physicswallahalakhpandey.com/ To support me in my journey you can donate (Paytm@ 9161123482) or Alakh Pandey ,Bank of Baroda, Rajrooppur, Allahabad,U.P IFSC: BARB0RAJROO Account No: 19210100020819 A small amount of Rs 100 even will be of great help. Follow us on: Instagram https://www.instagram.com/physicswallah/ Facebook: https://www.facebook.com/physicswallah Class 11 Physics…

Class11/I PUC- Physics -Motion In A Straight Line -types of motion- 02

Class11/I PUC- Physics -Motion In A Straight Line -types of motion- 02

Like us on facebook : https://www.facebook.com/bicspuc This video lesson deals with the types of motion with refrence to the change in rectangular co-ordinates o fa particle with respect to time giving rise to 1,2 or 3 dimensional motions. Follow BIC : https://www.facebook.com/bicspuc https://www.bicpuc.com https://www.instagram.com/bicpuc1 https://medium.com/@bicspuc https://soundcloud.com/bicpuc https://www.snapchat.com/add/bicpuc https://twitter.com/bicpuc