In the figure, a small 0.131 kg block slides down a frictionless surface through heighth = 0.815 mand then sticks to a uniform vertical rod of mass M = 0.262 kg and length d = 2.20 m. The rod pivots about point o through angle before momentarily stopping. Find 0. 0 0 h
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- a small 0.383 kg block slides down a frictionless surface through height h = 0.752 m and then sticks to a uniform vertical rod of mass M = 0.766 kg and length d = 2.34 m. The rod pivots about point O through angle θ before momentarily stopping. Find θ.R M A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle 0 = 30°. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is u = 0.64. What is the magnitude of the frictional force on the sphere? Ff =4 spheres, each of diameter D= 0.05 m (spheres are identified as 1, 2, 3, 4), are placed on the end of 4 rods of length L = 0.15 m, arranged in a cross pattern as shown in the figure. L The rigid assembly is free to pivot without friction about the axis, o, normal to the page. Sphere 1 is covered with roughness of height ɛ = 0.25 mm while all other spheres are smooth. 1 With an oncoming velocity of U= 60 m/s, which direction will the assembly rotate? (Clockwise or counterclockwise). Use appropriate calculations to explain and justify your answer. Density of air is 1.2 kg/m³ and viscosity is 1.5 x 10-5 m²/s. 3.
- In the figure, a small 0.289 kg block slides down a frictionless surface through heighth - 0.523 m and then sticks to a uniform vertical rod of mass M-0.578 kg and length d - 2.61 m. The rod pivots about point O through angle before momentarily stopping. Find 9. AA solid cylindrical disk has a radius of 0.11 m. It is mounted to an axle that is perpendicular to the circular end at its center. When a 71- N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 200 rad/s². What is the mass of the disk? Number Units αThe 29-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moment of P about point B and about point A. Moments are positive if counterclockwise, negative if clockwise. Ariswers: M₂- i MA-1 P = 29 N 1.2 m B 47° 1.2 m N-m N-m
- A 1.00 kg solid, uniform disk rolls without slipping across a level surface, translating at 3.00 m/s. If the disk's radius is 0.150 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.540 kg and its length is 1.20 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. Ĵ L/2 CG M (a) (a) Determine the speed of its center of gravity at its lowest position in m/s. m/s (b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod in m/s. m/sChapter 11, Problem 066 GO Your answer is partially correct. Try again. In the figure, a small 0.109 kg block slides down a frictionless surface through height h = 1.46 m and then sticks to a uniform vertical rod of mass M = 0.218 kg and length d = 1.55 m. The rod pivots about point O through angle e before momentarily stopping. Find 0. Number Units (degrees) em the tolerance is +/-2% em Click if you would like to Show Work for this question: Open Show Work
- W; = 0 %3D Wf initial final A flywheel consists of a thin uniform disk of mass m and radius R, free to rotate about a frictionless central axle. A small weight, also of mass m, is attached to the wheel's rim. The is wheel is held at rest (left), the small weight level with the axle, then released. What is the angular velocity of the wheel when the weight reaches its lowest point? 4g V 3R 8g V 5R 3g V 2R V28R 2gRyo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30 degree incline. Itis held in place by friction and the tension in the string that is wrapped around its inner cylinder, as shown in the figure. Assume that the positive x-direction points down the incline. Determine the friction force if the mass of the yo-yo is 420g.W L A rod of length L = 35.0 cm rotates about its end through O with a constant angular acceleration a = 2.23 rad/s², as shown in the figure. At t= 0, the initial tangential speed of a point P on the rod is to 14.4 m/s. Find the final tangential speed v of the point P at t = 5 s. O 21.96 O 18.30 O 27.45 O 15.25 12.20