There are two wheels. Wheel one has a constant of Ω=2π/3 s^-1 and a radius of 0.3m. Wheel two has a constant a=π/2 s^-2, an initial Ω=-π/10 a d a radius of 0.2m. If these two wheels were to start at x=0, which one would travel 10m first?

In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h, 5.0 cm and h, 1.60 cm. With what speed must the ball be shot at point P for it to land at d = 6.5 cm? Ball Vo %D II

The rotation of a flywheel is defined by the rotation ω = 2(4t + 1)1/2, where ω is in rad/sec and t in sec. When t =0, θ = 4 rads. Find the value of θ and α (alpha) when t = 5 secs.

A ceiling fan with 89-cmcm-diameter blades is turning at 70 rpmrpm . Suppose the fan coasts to a stop 30 ss after being turned off What is the speed of the tip of a blade 10 ss after the fan is turned off?

In the setup shown in the figure, ?1=27.0kg, ?=220N, ?= 35°, and ?2=7.0kg. The frictionless pulley has a 0.1 m radius and its moment of inertia is 0.20 kg m^2. The coefficient of kinetic friction between ?1 and the table is 0.2. Calculate the acceleration of ?1.

An object rotates about a fixed axis, and the angular position of a reference line on the object is given by u = 0.40e2t, where u is in radians and t is in seconds. Consider a point on the object that is 4.0 cm from the axis of rotation. At t = 0, what are the magnitudes of the point’s (a) tangential component of acceleration and (b) radial component of acceleration?

A Purple Block about (mA = 24 kg) glides along a rail, it starts at point 1 with a height H1 = 5.40 m). (Entire rail is frictionless) and before entering a loop the (radius R = 1.80 m). Three more points 2, 3, and 4 are all marked on the sides as well as on the top of these loops. The purple block then comes out of the loop while travelling at a speed of 12 m/s. Has a t-bone collision with the blue block which is mB = 8 kg with a speed of 6 m/s before the collision happens. After the accident, purple block's speed is 5.30 m/s and is still moving in the same direction it was before the collision. (see picture)  A)What kind of collision is this? For the purple block: (parts a-b)a.) speed of block have at point 1?v1 = _____  m/sb.) At point 2, speed of the block: v2 = _____ m/sthe force acting on the block not to closely to the circle:______ N,  with the motion, against the motion, it is zero force acting on the block, radial to the circle:______ N,  toward the center of the loop, away…

A car is going around a flat curve which has a radius of curvature of 87.3 m with a constant speed of 27.3 m/s. The car has a mass of 1410. kg. The coefficient of static friction between the tires and the road is μs = 0.975, while the coefficient of kinetic friction is k = 0.648. What is the work done by the static friction force between the tires and the road for the car to travel a distance of one quarter of the circumference of a circle with this radius?

Iron man starts to uniformly circle around the Earth at its equator, with a radius of 6400 km.  When his centripetal acceleration is 1 g, what is: his period  his angular frequency his speed

Find for the Cross Product of the following pairs of vectors 1. A=4i-5j +8k, B = -2i+3j+3k 2. C = -6i+4j+7k, D=4i-j+5k 3. E= -i-5j + 2k, F = 8i+2j-6k