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Find the tension T1 in the rod between the masses, and also the tension T2 in the rod betwen pivot and the center mass.
A system is composed of N one dimensional classical oscillators. Assume that the potential for the oscillators contains a small quartic "anharmonic" term
An undamped oscillator has period to = 1.000s, but I now add a little damping so that its period changes to t1 = 1.001s. What is the damping factor
The cannonballs are projected at various angles above the horizontal, but all are projected with the same vertical component of velocity.
A cord is used to vertically lower an initially stationary block of mass M at a constant downward acceleration of g/4.
What is the translational speed of the sphere as it reaches the bottom of the ramp?
A uniform square plate 6m on a side has a had a square piece 2m on a side cut out of it. The center of that piece is at x=2m , y=0.
Consider a classical particle moving in a one-dimensional potential well u(x). The particle is in thermal equilibrium with a reservoir at temperature T
What fraction of the initial energy does the moving door-mud ball sytem retain?What is the rotational inertia of the door about the hinges?
Assume you are looking at a top view of an object of mass m connected between 2 stretched rubber bands of length L. The objects rests on a frictionless surface.
At t=0, a fly wheel has an angular velocity of 4.7 rad/s (radians per second), an angular acceleration of -0.25 rad/s^2 .
Calculate the canonical ensemble partition function for a collection of INDEPENDENT and NON-INTERACTING harmonic oscillators.
It rebounds from the wall with a velocity of (2.00 m/s) i + (3.50 m/s) j + (-3.20 m/s) k.What is the change in the ball's momentum?
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 265*10^105 kg, of which 200*10^5 kg is fuel.
A 50 kg cart is moving across a friction-less floor at 2 m/s. A 70 kg boy, riding the cart, jumps off so that he hits the floor with zero velocity.
When the batter hits the ball, a net force of 1320 N, opposite the direciton of the balls initial motion, acts on the ball for 9 X 10^-3 seconds during hte hit.
How much time does it take for the particle to complete one revolution? Answer in seconds.
In a Rutherford scattering experiment, an alpha particle (charge = +2e) heads directly toward a gold nucleus (charge = +79e).
The cylinder's rotation velocity around its central axis is omega 0 The track is attached to the floor.
What is the gravitational force between two trucks, each with a mass of 2.0 x 10^4 kg, that are 2.0 m apart?
An essentially massless spring is connected to the ceiling. A 5.00 g mass is attached to the spring so that the spring is 2.00 cm longer.
He takes off by driving a motor cycle up a short ramp sloped at an angle of 15 degrees.
An 11.2 g object moving to the right at 21.3 cm/s makes an elastic head-on collision with a 17.3 g object moving in the opposite direction at 31.5 cm/s.
What was the intial velocity of the object at t=0 seconds? Hint: calculate the velocity at different times, then make a graph of velocity versus time.
After bungee jumping off a bridge, a person begins to swing as a pendulum, the rope being 77m long.