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Q. A disk has mass m and outer radius R with a radial mass distribution (which can not be uniform) so that its moment of inertia is 3 mR2. The disk is given a hard kick 8 (impulse) along a horizontal surface at time t0. The kicking force acts along a horizontal line through the disk's center, so the disk acquires a linear velocity v0 but no initial angular velocity. The coefficient of friction between disk and surface is μ.
The kinetic friction force between surface and disk slows down its linear motion while at the same time making the disk spin on its axis at an accelerating rate. Finally, the disk's rotation catches up with its linear motion, and disk begins to roll at time trolling without slipping on the surface.
For safety in climbing, a mountaineer uses a nylon rope that is 69 m long and 1.0 cm in diameter. Whilst supporting a 96-kg climber, the rope elongates 1.4 m. Find its Young's modulus.
For the circuit shown below, C = 0.113 µF and = 103 V. The switch throw is rotated to contact b after having been at contact for the long time, and 3.47s later the potential difference across the capacitor is equal to 1/2. What is the value of R.
Determine magnitude of the force from the ground on each front wheel. what is magnitude of the duck's velocity.
A proton travels with the speed of 8.34×105 m/s at an angle of 32.3° with the direction of a magnetic field. The field exerts a force of 3.00×10-17 N on the proton. What is the strength of the field.
And if the plane could fly without this pilot, how much force would the plane require to maintain the equal acceleration?
A 1260 kg is pulling a 335 kg trailer. Together the car and trailer have the acceleration of 2.15 m/s squared. Find out the net force on the car-trailer combination.
A thin, light wire is wrapped around the rim of a wheel. The wheel rotates without friction about a stationary horizontal axis that passes through the center of the wheel. The wheel is a uniform disk with radius 0.28. An object of mass 4.0 is suspend..
The impact on light fixture swing
What is the focal length of this mirror. If the object is 25 cm in front of the mirror, what is the image distance.
An electron is projected with an initial speed 1.00×106 into the uniform field between the parallel plates. Suppose that field between the plates is uniform and fixed vertically downward, and that field outside the plates is zero. The electron enters..
Illustrates the difference between acceleration and velocity
At a distance rl from point charge the magnitude of the electric field created by charge is 248 N/C. After a distance r2 from the charge, field has a magnitude of 132N/C. Find ration r2/r1.
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