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A simple pendulum of length l and mass m is attached to a massless spring with elastic constant k. The attachment point moves only in a vertical direction.
a) Obtain the Hamiltonian for the system;
b) Write down the canonical (Hamilton's) equations of motion;
A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates some clever design technology, What is the radius of the arc of the teardrop at the top
A 68-kg skater moving initially at 2.4 m/s on rough horizontal surface comes to rest uniformly in 3.52 s due to friction. What force does friction exerts on the skater
100.0 W tungsten filament bulb generates 95.0 W of heat, determine difference in temp. between inner and outer surface of glass
A child pulls on a wagon handle at an angle 37° above the horizontal with a force of 45 N. what is the mass of the wagon
The speed of the block at the bottom of the track is vA = 13.1 m/s, and block experiences an average frictional force of 7.00 N while sliding up the track.
q1. vector is along a measured trail and is 1310 m in a direction 27.0 deg north of east. vector is not along a
q1. two ocean liners each with a mass of 40000 metric tons are moving on parallel courses 92 m apart. what is the
An archer pulls back 0.75 m on a bow which has a stiffness of 200 N/m. The arrow weighs 50 g. What is the velocity of the arrow immediately after release
A 4x 11 swimming pool slopes linearly from a 1.20 depth at one end to a 3.80 depth at the other. What is the mass of water in the pool.
A 10.0 kg ball rests suspended by the 5.0 m long weightless string. find The maximum deflection angle for the large ball
A grinding wheel of radius 0.340m rotating on a frictionless axle is brought to rest by applying a constant friction force tangential to its rim. The constant torque produced by this force is 64.5 N • m. Find out the magnitude of the friction forc..
A person driving her car at 49 km/h approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 30 m away from the near side of the intersection .
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