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A body of mass m attached to a spring of force constant 100N/m is found to stretch the spring to a distance of 0.4m form its equilibrium position. Find the mass of the body.
A particle of mass 300g is attached to one end of a light inextensible string of length 40cm, the other end of the string being fixed at 0 on a smooth horizontal surface. If the particle describe a circle centre o, find the tension in the string when. A. The speed of the particle is m/s. B. The angular speed of the particle is 5rad/s

I am preparing an In-Service for nurses about portable oxygen cylinders. This is (part of) what I tell them:

Dimensions of 2.8 L Cylinders are: H. 40cm, D11 cm

Pressure when full = 200 Bar ( = 200kg / cm2)

Every cm2 inside this cylinder has a force of 200kg pushing against the wall!

How much is that in total?

Well, that is 40cm X ( π X 11) = 1381cm2 + bottom 5.52cm X π = 95cm2 + top 5.52cm X π x4 = 380cm2 = 1856 cm2 X 200 bar = 371.200kg.


I must be making an error somewhere. Please correct me.


If alpha and beta are the roots of the equation 3x2 -2x- 1=0.
Find 1. Alpha - beta
2. Apha cubed - beta cubed
A passenger is standing inside a moving bus. The bus negotiates the u turn in the chandmari flyover at a speed v. If the radius of curvature of the u turn is R then find the angle through which the passenger leans away from the vertical

What are generalise coordinates? What are the advantages using them.


A 40gm mass hangs at the end of a spring. When a 20gm mass is added the spring stretches by an additional 5cm.
a) What is the force constant of the spring?
b) What is the frequency with which the 40gm mass vibrates?
A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by F = −i + 2 j + 3 k N where i, j, k are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z-axis?
body of mass 10g is in SHM with a frequency of 40/π Hz and amplitude of 0.2m.
Find :
a) The maximum force acing on the body. b) the maximum velocity and the
maximum acceleration.
c) the acceleration and the velocity at the point 0.1m from the equilibrium position.
Imagine a rocket with mass is moving toward a gas cloud with initial velocity . Naturally the rocket will be colliding with the gas particles and gradually losing its kinetic energy. Now for the sake of simplicity, we can model this gas cloud as tiny particles with very small mass and density /. The cross sectional area of the rocket is . Now find out how much time it will take to decrease the rocket’s velocity to half of its original.