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Problem 1:
The mass m compresses the linear elastic spring, whose constant is k, a distance δ0. The mass is released from rest and it slides along the horizontal surface with negligible friction until it encounters the bottom of rod OB. The mass attaches to B via a slot in the mass, and the rod and mass begin swinging upward in the vertical plane. Neglecting the mass of the rod, determine the initial compression of the spring so that the rod and mass reach the opposite vertical position with zero tension or compression in the rod.
Problem 2:
The box B of mass mB is attached the cart C of mass mC via the linear elastic spring of constant k. The spring is compressed a amount δ when the system is released from rest. Determine the velocity of the box relative to the cart at the instant the spring becomes uncompressed. Use mB D 10 kg, mC D 25 kg, k D 150N=m, and δ D 0:5m. Neglect the mass of the spring and of the wheels.
Problem 3:
Disc B is moving at speed vB in the direction shown when it encounters disc A, which is at rest. If the coef?cient of restitution of the impact is e and the mass of A is twice that of B, determine the post-impact velocities of A and B. The discs lie in the horizontal plane. Express your answers in the given component system.
A box of mass 2.1 kilogram is on a horizontal surface. Find the speed of the box after it has travelled a distance of 2.3 meter
A one-dimensional harmonic oscillator is perturbed by an extra potential energy bx. Determine the change in each energy level to second order in the perturbation
An electron with a speed of3.6105m/s enters a uniform magnetic field of magnitude0.057T at an angle of 35° to the magnetic field lines. The electron will follow a helical path.
What is the x-component of the electric field at the point. What is the y-component of the electric field at the point. What is the total magnitude of the electric field at the point.
A right triangle has sides of 30, 40 and 50 cm. A charge of -10 x 10-6 C is placed at the right angle; a charge of + 10 x 10-6C at the smaller acute angle and a charge of + 5.0x10-6 C at the larger acute angle
two resistors have resistances rsmaller and rlarger where rsmaller lt rlarger. when the resistors are connected in
many people mistakenly believe that astronauts that orbit the earth are above gravity. calculate the acceleration due
In the absence of a nearby metal object, the two inductances LA and LB in a heterodynemetal detector are the same, and the resonant frequencies of thetwo oscillator circuits have the same value of 500 kHz.
The water cooling system in a car engine that carries hot water from the engine block to the radiator is an example of cooling by: Transfer ? Conduction ? Convection or Radiation?
What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 206 km above Earth's surface, What is the period of revolution
An iceboat is gliding on a frozen lake with no propulsive force being applied. Does the horizontal momentum of the boat Change
At an amusement park, a swimmer uses a water slide to enter the main pool. obtain what is her speed at the bottom of the slide
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