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The angular position of a point on the rim of a rotating wheel is given by ? = 7.68t - 5.13t2 + 1.73t3, where ? is in radians and t is in seconds. What are the angular velocities at
(a) t = 3.71 s and
(b) t = 8.07 s?
(c) What is the average angular acceleration for the time interval that begins at t = 3.71 s and ends at t = 8.07 s? What are the instantaneous angular accelerations at
(d) the beginning and
(e) the end of this time interval?
A proton has a kinetic energy of 8.5 MeV. If its momentum is measured with an uncertainty of 4.0%, what is the minimum uncertainty in its position
You are driving to the grocery store at 20. You are 100 from an intersection when the traffic light turns red. Suppose that your reaction time is 0.70 and that your car brakes with constant acceleration. What acceleration would bring you to rest r..
a base for a building column measures 18.0 in. by 18.0 in. on a side and 12 in. high. compute the cross-sectional area in both square inches and square millimeters. compute the volume in cubic inches, cubic feet, cubic millimemters, and cubic mete..
Expand Lagrangian to second order about equilibrium coordinates, r_0, phi = wt and find the condition for stability against small oscillations.
A gymnast of mass 52.0kg hangs from a vertical rope attached to the ceiling, calculate the tension T in the rope if the gymnast hangs on the rope
Racing drivers like to warm up the tyres of their car as soon as possible. One reason is that warm tyres grip the road better but the temperature also affects the pressure of the air into he tyres.
A golf ball strikes a hard, smooth floor at an angle of θ = 31.6°, rebounds at the same angle. The mass of the ball is 0.043 kg, and its speed is 45m/s just before and after striking the floor. What is the magnitude of impulse applied to the golf bal..
What mass (in grams) of steam at 100°C must be mixed with 251 g of ice at its melting point, in a thermally insulated container, to create liquid water at 66.0°C? The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg, an..
Three blocks, each of mass 12 kg are on the frictionless table. A hand pushes on the left most box (A) such that the three boxes accelerate in the positive horizontal direction as shown at a rate of a = 1.1 m/s2. What is the net horizontal force on b..
The mass density of an object is 17.3 g/cc, and its volume is determined to be 28.2 cc, What is the mass of the object
Starting from rest, you move with a constant acceleration of 2.1 m/s2 for 13.0 s and then move with an acceleration of -2.1 m/s2, What is your maximum speed attained
In Millikan's experiment, an oil drop of radius 1.85 μm and density 0.852 g/cm3 is suspended in chamber C whilst a downward electric field of 0.62 × 10^5 N/C is applied. Find the charge on the drop, in terms of e.
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