6) Z. A thin non-condu cting rod of ma ss m and length L = 60cm, slides frictionl essly at a constant speed V = 0.5 m/s along the rails placed on the surface and at the edges of an inclined plane with the effect of an external force. The rails at the edges of the inclined plane are connected with each other via the rail at the bottom edge of the plane, so the rod and rails forms a rectangular closed loop as seen in the figure. The plane of the rails makes an angle 0 = 55° with the horizontal plane (xz plane). Before sliding, the rod stays at the di stan ce S = 4m measured from the bottom edge of the inclined plane. The inclined plane and the rod are under the effect of a uniform magnetic field given by B = 0.40î + 3ĵ + 0.8k(T). After the rod starts to slide, what will be the magnetic flux passing through the surface formed by the rod, the rails at the edges, and the rail at the bottom edge of the inclined plane at t=4s? A) 1.50 Wb B) 7.53 Wb C) 0.083 Wb D) 0.147 Wb E) 1.67 Wb

A 40 kg box has an initial velocity of 6 m/s down a 30-degree inclined plane at an initial height of 4 meters. The coefficient of friction between the box and the ground is 0.4. [a] Calculate the box’s velocity when it reaches the bottom of the inclined plane.

(2) Four dollies (A, B, C and D) on a plane are connected by three ropes, ropes 1, 2 and 3, as shown in the diagram. The rightmost dolly is powered and pulled in the overall rightward direction by a force of magnitude F. The 4 dollies accelerate with the same acceleration. The friction between the ground and the dolly is negligible. At this point, answer the following questions. The rope does not stretch and the mass of the rope is neglected.< 台車D m4 ロープ3 m3 台車C ロープ2 m2 台車B ロープ1 m1 台車A F At this point, increase the strength of the F. Which rope breaks first. The ropes are all of the same strength.< (3) With all four trolleys of the same mass m, establish the equation of motion for each trolley in the right-hand direction of the paper. The right direction of the paper is the x- direction and only the equation of motion in the x-direction is derived. Also, include the tension of the rope between A and B as the tension of the rope between B and C and the tension of the rope between C and…