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

A disk of mass 2.00 kg and radius 0.250 m is rolling (without slipping) across a floor with a linear speed of 5.00 m/s. What is the kinetic energy of the disk due to its rotational motion? O 15 J O 37.5 J O 12.5 J O 25 J

Tab 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 P

The angular speed of a particular cog in a machine is given by: w(t) = Kcos (2T) +M where K = 0.57 rad s¯¹, T = 4.5 s, and M = 0.029 rad s-1 What is the angular acceleration a of the cog at a time of 12 s?

Four 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?

2.7

The answer is supposed to be v=2.56m/s but I'm not sure how to write out the problem.

Two masses ma=1kg and my=5.4kg are connected by a rope that hangs over a pulley as shown in the figure. The pulley is a uniform cylinder of radius R=0.62m and mass M=15kg. The system is released from rest. Just before mp hits the ground, calculate the speed of the pulley. Take h=8,5m, g=10 m/s. Round your answer to one decimal place. Note: 1Minder = CM MR? assume the rope is massiess and does not slide over the pulley. me me

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.