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A round and smooth table revolves around an axis that passes through its center at a constant angular velocity w. The two bodies are moving together on the table. Body A whose mass m is attached to the table hinge by means of a spring. The force constant of the spring is k and the length of the spring in the relaxed state is L. Body A is connected to body B whose mass is 2m by A wire, see diagram.
At the time of rotation, the distance of body A from the center is R and the distance of body B from the center is 2R. express using w, L, m, k the
1. The radius of rotation R of body A.
2.the stretching of the wire connecting the bodies.
3. Does the expression you found in section 1 have a physical meaning at any angular velocity?
4. Calculate the mass of each of the bodies given: w = 3rad / sec; k = 72N / m; L = 0.5m; R = 1m
5. What is the work of the wire that connects the two bodies while the bodies complete one round. Necrosis.
https://ibb.co/4YY5qJt
Two carts 1 and 2 move along a straight line towards each other as shown in Figure A and collide head-on. The graph shown in the diagram depicts the force F12 exerted by cart 1 on cart 2 during the collision, as a function of time, direction and positive is selected to be in the right direction. Given that the mass of cart 1 is m1 = 0.2kg and its velocity before the collision is v1 = 3m / s in the positive direction, and the mass of the cart 2 m2 = 0.8kg and its velocity before the collision is v2 = 3m / s in the negative direction.
A. Copy the graph in Figure B to your page and add to this graph (in the same system of axes) a graph depicting the force exerted by cart 2 on cart 1 (force F21) during the collision.
B Calculate the speed of each of the carts immediately after the collision.
C. Is the collision completely elastic? Necrosis.
https://ibb.co/7tS4dBy
https://ibb.co/r5ShBzW
A car's engine is turning the crankshaft at 5900 rev/min
rev/min .
what is a rotational speed?
1.) A 1200 kg car is being driven up a 5° hill. The frictional force has a magnitude of 524 N. A force F is applied to the car by the road and propels the car forward. In addition to these forces, two other forces act on the car : its weight W and the normal force N directed perpendicular to the road surface. The length of the road up the hill is 290 m. Calculate the magnitude of F so that the net work done by all the forces acting on the car is 1150 kJ.
2.) A 1900 kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down a hill at 27 m/s. Going up a hill, the car's engine produces 47 hp more power to sustain the constant velocity than it does going down the hill. Calculate at what angle is the hill inclined above the horizontal.
A 0.070 kg ball attached to a 0.18 m rod of very small inertia moves in a vertical circle in such a way that it's speed remains constant. Let T1,T2,T3 and T4 be the tensions in the rod at positions1,2,3, and 4 . What rotationalspeed is required at position 3 to keep T3 barely greater than zero?
A car accelerates with the acceleration a(s) = k · s^n m/s^2, where s is distance in meters, k = 1.8 and n = 0.725. (Unless otherwise stated, assume that the car has a negligible initial speed, which only means that the answer does not become trivial and that the car starts at s = 0.)
How far has the car driven when it has reached a speed of 1.4 m/s?A ball has a mass of 2kg.It is dropped from a cliff and strikes the ground below at 10m/s.
1) Which is the kinetic energy as it is about to strike the ground?Ek=mv2
2) What was its potential energy before it was dropped? Ep=mgh
3) Determine the height from which was it was dropped? E=mgh
A farmer exerts a force upon a 3.29 kg pile of soil to both lift it and set into motion. The soil leaves the shovel with a speed of 2.94 m/s at a height of 0.562 m. Determine the work done upon the pile of snow.
A piston moves from rest to a speed of 5 m/s in one twenty-fifth of a second. What are the average acceleration and the distance travelled?
A bike of mass 250 kg, travels at 120 km/h round a circular track of 110 m radius. Calculate the centripetal force required to maintain the car in its circular path.
