A large door is a uniform rectangle, with height h and width w and mass m, which is free to rotate about one long side. What is the smallest force required to open the door with constant angular acceleration a? Parameters: h = 2.70 m; w = 1.30 m; m = 50 kg; a = 0.30 rad/s^2. (in N) A: 0.883 OB: 1.174 OC: 1.562 OD: 2.077 OE: 2.763 OF: 3.675 OG: 4.887 OH: 6.500
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- Dan applied different torque values to an object to determine its diameter. She applied a torque, to a solid sphere [ I=(2/5) mr^2] of mass m. The object accelerated at 5.72 rad/s^2. What is the value of the diameter of the object? Tip: the object rotates without slipping. Use the following: torque=11.9 nvm and m=50.7 kgTab sLk A printing press has a roller 17 inches in diameter. A point on the roller's surface moves at a speed of 85 feet per second. What is the roller's angular speed? The roller's angular speed is radians per second. (Round your answer to the nearest hundredth.) Esc I 1 Q A 91°F Sunny 261 N @ 2 W S Alt X 3E D C STR 4 F C FS do 5 % T V OL G 6 B F7 H W & 7 P U N J 8 +00 8 F9 1 k M F10 ( 9 K O V LO F11 O L P All + 99+ F12 . V PFour particles, A, B, C, and D, are rotating around their individual axes of rotation with different distances from the axis and different angular velocities. Which one of the particles has the smallest angular velocity, given the distance R and the linear velocity v? VA = 5.0 m/s, RA = 2.0 m VB = 2.0 m/s, Rg = 0.5 m vc= 3.0 m/s, RC = 3.0 m VD = 1.0 m/s, RD = 0.2 m
- Two disks are free to rotate about an axis through their center. The inner disk has a radius a = 20 cm and a 60 N force is applied tangent to the rim as shown. The outer disk has radius b = 40 cm and a force of magnitude F is applied tangent to its rim. What value of F is required to give zero net torque about the center?The answer is supposed to be v=2.56m/s but I'm not sure how to write out the problem.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.
- A solid cylindrical disk has a radius of 0.12 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 40-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 100 rad/s2. What is the mass of the disk? kganswers: Q27) 2.4 Q28) 0.84 Q29) 94KWTwo masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?
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