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- A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.Determine the moment of inertia, about the centroidal axis (CE) parallel to the x-axis, in x10⁶ mm⁴. b = 112 mm, d = 153 mm y t = 34.6 mm.A girl pushes on a large wine barrel, which has a radius of 0.259 m and moment of inertia of 146 kg m2, in order to roll it from one side of the warehouse to another. Suppose she pushes on the barrel tangent to its surface with a steady force of 46.2 N. How long (in seconds) will it take her to rotate the barrel one full revolution, starting from rest?
- In the arrangement shown in the figure, we want to calculate the acceleration of the system If we have that m1 = 50.8 grams and m2 = 127.4 grams, neglecting the friction in the pulley and its moment of inertia, we will have that the theoretical acceleration of the system will be: Select one:to. 7.01b. 4.21c. 2.79d. None is correctand. 3.91Yo-Yo man releases a yo-yo from rest and allows it to drop, as he keeps the topend of the string stationary. The mass of the yo-yo is 0.059 kg, its moment of inertia is2.5 * 10–5 kg · m2, and the radius r of the axle the string wraps around is 0.0068 m. Whatis the linear speed v of the yo-yo after it has dropped through a height of h = 0.50 m?A centrifuge rotor has a moment of inertia of 2.85×10−2 kg⋅m2 . How much energy is required to bring it from rest to 9280 rpm ?
- If the CD rotates clockwise at 500 rpmrpm (revolutions per minute) while the last song is playing, and then spins down to zero angular speed in 2.60 ss with constant angular acceleration, what is ααalpha, the magnitude of the angular acceleration of the CD, as it spins to a stop? Assuming that the CD spins down with a constant angular acceleration. in units of rad/s^2In 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.Show that the moment of inertia of a right circular cone of mass M , height h and radius ‘a ’ about its axis is 3 Ma2/10. USE INTEGRATION.
- A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 21.5 rad/s2. Find the speed of a point on the blade 3.85 m from the axis of rotation when the blade has completed 14 revolutions.As you switch a fan setting from its slowest speed to its highest,its angular speed v triples. (a) Does the period of rotation T of thefan blade increase, decrease, or stay the same? Explain. (b) Whatis the ratio of the new rotation period to the old value, Tnew>Told?Suppose that there are two solid steel spheres. The second sphere has a radius twice as large as the radius of the first sphere. What is the ratio of the moments of inertia of the spheres, I2:I1? 8 4 32 2 16