Q7/ Four masses A, B, C and D as shown below are to be completely balance. Mass (kg) Radius (mm) 180 B 30 240 C 50 120 D 40 150 The planes containing masses B and C are 300 mm apart. The angle between planes containing B and C is 90°. B and C make angles of 210° and 120° respectively with D in the same sense. Find: 1. The magnitude and the angular position of mass A; and 2. The position of planes A and D.

The figure below shows the positions of the Centers of mass of the three disks on a rotating shaft. m1 =8 kg, m2=2 kg, m3=5 kg, r1=70 mm, r2=50 r3 = 110.B to dynamically balance the shaft balancing masses of 6 kg each are placed in their planes. A find the positions of the center of mass (ra, ra) of its mass in mm and degrees. The D value in the figure will be taken as 330 mm. Note: moment equations can be written according to the point 0 shown in the figure. B ma m2 60 40 320 mm 230 mm 350 mm t 50 mi Please select one: A.(17,068; OA=257, 270)

3 forces (F1, F2, F3) act on the same point on an object. The point of application is the origin of the Cartesian coordinate system. F1 has a magnitude of 15.0 kN, is located in the y-z plane and has an angle of beta = 33.0 degrees. F2 lies in the x-z plane and is described by integer lengths of a similar right triangle of 12 , 5 , 13 (length, height, hyp.) and has a magnitude of F2=17.0kN What is the magnitude of F3?

The following diagram corresponds to questions 1 to 3. A beam rests on two sharp edges as shown on the image. The beam has a length of 7,50 m and a mass of 4,25 kg. Object 1 has a mass of 1,50 kg; object 2 has a mass of 2,35 kg. Point P is 0,50 m form the center of the beam. CG 1. How much is the torque done by object 1 around point P? A. 55,2 N*m B. 7,36 N*m C. 62,5 N*m D. Object 1 doesn't exert a torque. 2. How much is the torque done by the force of gravity of the beam around point P? A. 20,8 N*m N-m ך177 .B C. 156 N*m D. 313 N*m 3. If you needed to cancel the nomal forces of the two objects, where you should place object 2? The axis of rotation is point P. A. 3,30 m from point B. 9,18 m from point P C. 5,69 m from point P D. 3,62 m from point P