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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 wooden ring whose mean diameter is 14.0 cm is wound with a closely spaced toroidal winding of 600 turns. compute the
A flat uniform circular disk (radius = 4.91 meter, mass = 400 kilogram) is initially stationary. Obtain the resulting angular speed of the disk
A parachutist of 60 kg descends at a constant speed of 4.4 m/s. What is the rate of increase of entropy of the parachute
A sphere of radius 1.0 cm is dropped into a glass cylinder filledwith a viscous liquid. The mass of the sphere is 12.0 g and thedensity of the liquid is 1200 kg/m3. The sphere reaches a terminalspeed of 0.15 m/s. What is the viscosity of the liquid?
A high-speed flywheel in a motor is spinning at 450 rpm when a power failure suddenly occurs. The flywheel has mass 40.0 kg and diameter 72.0 cm. How many revolutions would the wheel have made during this time
You are moving into an apartment and take the elevator to the 6th floor. Suppose your weight is 630 N and that of yourbelongings is 970 N. (a) Determine the work doneby the elevator in lifting you and your belongings up to the 6thfloor (15.2 m) at ..
A skier is slinding downhill at 11 m/s when she reaches an icy path on which her skies more freely with negligible friction. find the speed of the skier at the bottom of the icy path
Given that the length of a month is 27.32 days, the mean gravity on Earth is 9.81 m s2 and the Earth's radius is 6371 km, Calculate the radius of the Moon's orbit
A projectile of mass 0.1kg travelling horizontally through the air with speed v(t) experiences a drag force D(t) whose magnitude is given by: D(t)=0.001[v(t)]^2. Calculate the speed of the projectile
A laser emits a narrow, circular beam of light. The radius of the beam is 1.37×10-3 m, and the power is 1.44×10-3 W
Determine the required bandwidth to transmit the RC time constant and FM signal required for Preemphasis circuits.
A concave mirror (R = 82.4 cm) is used to project a transparent slide onto a wall. The slide is located at a distance of 52.3 cm from the mirror, How far from the wall should the mirror be located
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