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A particle of mass m is constrained to move on a circle of radius R. This circle also rotates in space about a fixed point (P) on the circumference of the circle. The rotation of the circle is about an axis of rotation perpendicular to the plane of the circle and tangent to the circle, at point (P); the rotation is at a constant angular speed W.
In the absence of a gravitational force, show that the particle's motion about one end of a diameter passing through the pivot point and the center of the circle, perpendicular to the axis of rotation, is the same as that of a plane pendulum in a uniform gravitational field.
Explain why this result is reasonable.
As the police car approaches a brick wall it emits a sound at 800Hz. The speed of the car is 100km/h. Find the beat frequency recorded by the driver of the police car
a stream is 30m wide and its current is 1.5 m/s south. how far down the stream will the current push the boat
Assuming Bohr model of atom. The electron in hydrogen atom orbits nucleus at distance of 0.029 nm. Mass of nucleus is 1.67 x 10 ^-27 kg. Determine the period of the electron
A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the elbow joint as well as other movements. what is the rotational kinetic energy of the forearm
Betelgeuse has a radius 650 times that of the sun and a massfifteen times that of the sun. What angle doesthe sun subtend as viewed from the earth
A uniformly charged conducting sphere of 1.5 m diameter has a surface charge density of 11 µC/m2. Find the net charge in coulombs on the sphere
An AC generator is connected across a single circuit element and supplies a peak voltage of 250 V. The peak current through the element is 6.1 A. What is the rms current through the circuit element?
A roller in a printing press turns through an angle given by , where =3.20 and =0.500. What is the maximum positive angular velocity
How long does it take for the last car to come to rest. When catching a baseball, a catcher's glove moves by 11 cm along the line of motion of the ball. If the baseball exerts a force of 403 N on the glove, how much work is done by the ball.
1040 carbon steel is a medium carbon steel. determine the applied stress at failure for a crack the length of 5 mm
At the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. Explain how far will the car travel before it overtakes the truck?
An airplane is flying horizontally in a region where the earth's magnetic field is 5.2x10-5 T at an angle 60 deg below the horizontal. what is the potential difference between the wing tips
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