a) Show that the energy of the mass is conserved during the motion. What's its potential energy? b) If the mass was originally at rest and at x=A. What's its velocity at x= A/2?

A 1.5 kg mass is attached to a 1.6 m long rigid rod of negligible mass that is anchored to the ceiling. The mass is pulled back to an initial angle of 45°and released with an initial speed of 3.0 m/s. Note: The mass is initially moving down not up! 2. L m (a) [Hint: The height of the mass above its lowest point is L(1 – cos 0).] How fast is the mass moving at the bottoms of its swing, when 0 = 0°?

Q3. Q4. The force that acts on an object is given by F = 3xî + 4yĵ Calculate the work done on the object by the force when the object moves from the origin (0,0) to the point (3,4). The figure below shows a bullet of mass 200 g traveling horizontally towards the east

Sand is discharged from the silo at A at a rate of 46 kg/s with a vertical velocity of 10 m/s onto the conveyor belt, which is moving with a constant velocity of 1.5 m/s. The conveyor system and the sand on it have a total mass of 810 kg and center of mass at point G. Neglect the thickness of the conveyor.(Figure 1) 1)Determine the vertical component of reaction at the roller support A 2)Determine the horizontal component of reaction at the pin support B 3)Determine the vertical component of reaction at the pin support B