Solve R 12-7: Cylinder D (Figure RP12-7) rolls to the right at 250 mm/s. Determine the angular velocity. 325 mm 15 с D 25 mm 125 mm +
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- GggA ball of radius R is rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Select the correct answer Ov=w/R Ov=Rw O v = 1/w Ov=w Ov=R/w Image size: S M L Max +Item 21 Part A A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 0(t) = yt+ Bt³, where y=0.450 rad/s and B= 0.0115 rad/s³. Calculate the angular velocity of the merry-go-round as a function of time. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Calculating angular velocity. Express your answer in terms of the variables B, y, and t. Πν ΑΣφ w:(t) = Submit Request Answer Part B What is the initial value of the angular velocity? Express your answer in radians per second. ? Wz = rad/s Submit Request Answer
- Angular frequency vs angular velocity? Consider the diagram of UCM (and its y-motion) shown below. How do the magnitudes of the angular frequency and angular velocity compare in this motion? +A wt wt TT/2 TT 31/2 2TT -A The magnitude of the angular frequency is greater than the magnitude of the angular velocity. The magnitude of the angular frequency is less than the magnitude of the angular velocity. The magnitude of the angular frequency is equal to the magnitude of the angular velocity.The cable AB carries a tension of 520 N. Determine the moment about O (positive if counterclockwise, negatíve if clockwise) of this tension as applied to point A of the slender bar. 620 mm 470 mm 24 Answer: Mo = i N-mThe uniform 22-kg plate is released from rest at the position shown. (Figure 1) Figure A x 0.5 m- 1 of 1 0.5 m > Part A Determine its initial angular acceleration. Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. a = Submit Part B 195| ΑΣΦ. 41 Request Answer vec ? rad/s² Review Determine the x and y components of reaction at the pin A using scalar notation. Express your answers in newtons to three significant figures separated by a comma.
- The rod O A rotates clockwise with a constant angular velocity of 6 rad/s. Two pin- connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the equation r = 200(2 - cos ) mm. (Figure 1) Figure B 600 mm 6 rad/s 400 mm 200 mm 1 of 1 Part A Determine the speed of the slider blocks at the instant 0 = 145°. Express your answer to three significant figures and include the appropriate units. V = Value Submit μA Provide Feedback Request Answer Units ? Next >Listen Q2. Two uniform thin disks A and B have masses of 3.2 kg and 4.1 kg respectively. They are each pinned at their respective centers, and when they roll in contact with each other, no slipping occurs. The motion is in vertical plane. The dimensions ra 12 cm and r2 = 36 cm. At this instant disk A has angular velocity w = 3.8 rad/s and %3D angular acceleration a = 1.2 rad/s2, both clockwise as shown. Takeg= 9.81 m/s. (1) Determine the magnitude of the angular velocity (in rad/s) of disk B. Your answer must include 2 places after the decimal point. 0, a .P AAssume a clock mounted on the wall, what is the value of angular acceleration of the second hand of the clock on the wall ? 11 12 10 3. 765 2nrad / sec? 60 rad / sec? O rad/sec2 n rad/ sec? 4.
- A bar on a hinge starts from rest and rotates with an angular acceleration a = 13 + 7t, where a is in rad/s? and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.53 s. 226 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error, radM, a solid cylinder (M=2.27 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.750 kg mass, i.e., F = 7.357 N. Calculate the angular acceleration of the cylinder. R M FA hollow sphere with a radius R and a mass M (note that I = (2/3)MR^2 for a hollow sphere) rolls down an incline with an angle θ. Its acceleration down the ramp is given by: A. 5/3gsinθ B. gsinθ C. 3/5gsinθ D. 1/2gsinθ A solid uniform disk with a radius R and a mass M (note that I = (1/2)MR^2 for a solid disk) rolls down an incline with an angle θ. Its acceleration down the ramp is given by: ⃝ A. 5/3gsinθ ⃝ B. gsinθ ⃝ C. 2/3gsinθ ⃝ D. 1/2gsinθ