If the System 1 and System 2 are equivalent, what should the magnitude of the moment couple M (going in the direction shown) in System 1 need to be?

O A person throws a ball straight up with a speed of 12 m/s. If the bus is moving at 25 m/s, what is the velocity of the ball to an observer on (V 28 m/s, 0, - 26) ground?

A plane flies horizontally at an altitude h = 4 km with a horizontal speed of 540 km / h ; it launches , without speed relative to the plane , a bomb . The pilot intends to bombard an immobile target , ahead on the ground . To study the motion of the bomb , we consider the system ( XOy ) of origin 0 representing the position of the plane at the instant of launching of the bomb as shown in the adjacent figure . We neglect air resistance . Given g = 9.8 m / s ? 1 ) Determine the launching speed of the bomb . 2 ) Determine the parametric equations of motion of the bomb . 3 ) At what distance « d » from the target should the pilot launch the bomb ? 4 ) Determine the direction and the magnitude of the velocity vector of the bomb at the point of impact with the target 5 ) Determine the position of the plane at the instant of hitting the target . 6 ) Precise , with justification , the trajectory of the bomb with respect to the pilot .

Problem 4 Derive expressions for the velocity (7) and acceleration (a) vectors in spherical coordinates. That is, transform and a from the Cartesian system of (x, y, z) to (r, 0, 0).