Problem ,. The figure below shows a two-dimensional body connected to the ground by two links AB and CD which are both free to rotate. The length of both links is 1.1 m. When the velocity of point B is -10j m/s, the angle beta is 90 degrees, and the angle theta is 45 degrees, what would be the angular speed of the body? T 1.2 m A DB 2.8 m of EDUC j Ari C Ai k
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- A linkage undergoing motion as shown. The velocity of the block, vp, is 4 m/s. The length of the rods is l=0.5m. l 45° -90° 45° l 121 No What are the angular velocities of links AB and BD in rad/s. Note: They both have the same angular velocity due to the symmetric geometry. Give your answer with 2 decimals.A ring of radius R is released from rest to roll down a rough incline (assuming there's no energy loss due to friction and there's no slipping in the rolling). Calculate its speed when it reaches the foot of the incline, 4R below the starting point. 4R R (KE+KE,+PE), = = (KE+KE,+PE)f 1 2 0+0+mg4R = ¹1 mv³² + ¹² (mR²³)w² +0 2 2 RR 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 =
- The moment of inertia of a thin rectangular plate with edge lengths a and b, and mass M, for a rotational axis through its center of mass and perpendicular to the plate, is: ris through its center of mass and perpendicular to the plate, is: diskance Lem = M ( + b) 1 Icm 12 What is the moment of inertia for an axis of rotation through one corner of the plate?Lx Gi A 325-kg merry-go-round with a radius of 1.50 m is spinning counterclockwise, as viewed from above, at 4.80 rad/s. A 35.0-kg child is hanging on tightly 1.25 m from the rotation axis. Her father applies friction to the outer rim to slow the merry-go-round to a stop in 5 s. Model the merry-go-round as a solid disk, and define counterclockwise as the positive direction of rotation. How much torque t must the child's father apply? 432 T = N-m IncorrectYou have a hoop that is 10 cm in radius that you need to measure the mass of.You do not have a scale, but you do have a solid disk with a radius of 12 cm and a knownmass of 5 kg, and you have a device that will measure rotational speed. You set the disk on aplatform, give it a spin so that it is rotating clockwise at 30 rad/s, then set the hoop on thedisk. Afterwards, the system is rotating at 20 rad/s. What is the mass of the hoop? Thank you
- The 184-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is μ = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. ( Figure 1) Figure 0.4 m 0.6 m B M = 450 N.m 1 of 1 Determine the angular acceleration of the spool. Express your answer to three significant figures and include the appropriate units. α = Submit Part B aG= O Value X Incorrect; Try Again Submit Part C μà Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. O Previous Answers Request Answer O μA Value Units Request Answer ? μA Units Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. ? ?A hollow ball of mass m = 2.0 kg and radius r rolls without slipping along a loop-the-loop track, with a height of h and radius R. The ball is released from rest somewhere on the straight section of the track. a. From what minimum height h above the bottom of the track must the ball be released in order that it not leave the track at the top of the loop? (height of loop is 2R) The Radius is 10.0 m b. What is acting as a radial force at the top of the loop? (gravity, Tension ???) I hollow ball = (2/3) mr² gninub 21 noitu boxil bns brossz sri gnitub suprot sit zomit auol (C doum asmuomo (3 2R di grois un 12 What was the potential energy at the top of mass m? HoumRefer to the question below.
- A solid 0.6350 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.6350 m. What minimum translational speed ?min must the ball have when it is a height ?=0.9944 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?. Use ?=9.810 m/s^2 for the acceleration due to gravity.In orbit mechanics, the angular momentum is also an important quantity governing the satellite's motion. Assume planar motion, a satellite is orbiting around Earth center within a fixed plane. Thus it's motion is completely described by the distance r and the angle (relative to some reference direction). êo 0 (center of Earth) êr PO.. P (satellite) satellite's trajectory Obtain the satellite's angular momentum with respect to Earth center. For spacecrafts, the angular momentum (h) is h = Fx, it is independent of mass. What is the magnitude of h?A ball of radius Ris rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Image size: Select the correct answer Ου-R/ω Ου- 1/ω O v= w Ου-ω/R O V = Rw