The double pulley shown in the figure is formed by two wheels that are coupled to each other. The complete pulley (formed by the two wheels) has a mass of 15 kg and a turning radius of 110mm. Block A has a mass of 40 kg. If a force of 2 kN is applied to the tied rope of the inner pulley wheel, determine the speed of block A after 3 seconds. At the beginning, the whole system was at rest. Disregard the mass of the string and consider that the moment of inertia (kg.m²) of the complete pulley is given by IP = mko² where m is the mass of the pulley and Ko is the radius spinning

The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an unstretched length of 4 m. Determine the speed of the sleeve when it gets to point A. Also determine the power of the applied force. Neglect friction. Determine: The sleeve speed at A, VA = The power, P, of the applied Force = F = 2N

Two identical 16-kg spheres are attached to the light rigid rod, which rotates in the horizontal plane centered at pin Part A: If the spheres are subjected to tangential forces of P = 10 N, and the rod is subjected to a couple moment M=(8t)N⋅mM=(8t)N⋅m, where t is in seconds, determine the speed of the spheres at the instant t = 4 s. The system starts from rest. Neglect the size of the spheres. Express your answer to three significant figures and include the appropriate units.

Member AB is uniform and has a mass of 150 kg. It is released from rest in the position shown, and the spring has an initial tension of 500 N. When member AB is horizontal it has a clockwise angular velocity of 2.00 rad/s. Calculate the force constant of the spring if the guide blocks A and B are massless.

5. Cart A had a mass of 250g, and it rolled down an incline before it caught up to cart B which had a mass of 350g. Cart A started from rest, 1.00m vertically above the level of cart B. Cart B was moving at 1.50m/s [right] before cart A collided with it. Cart B has a compression-spring connected to its rear side so that Cart A compresses the spring as it collides with Cart B. The spring constant of the compression spring was 200.0N/m. a. Determine the maximum compression of the spring as the carts collide b. Determine the velocities of each of the carts once the spring has completely recoiled

solve,  answer is provided, show all steps.

Part A. what is the acceleration of the collar after it has moved 6.25 m?Part B. what is the speed of the collar after it has moved 6.25 m?

The 190-kg lunar lander is descending onto the moon's surface with a velocity of 6.0 m/s when its retro-engine is fired. If the engine produces a thrust T for 3.8 s which varies with the time as shown and then cuts off, calculate the velocity of the lander when t 4.7s assuming that it has not yet landed. Gravitational acceleration at the moon's surface is 1.62 m/s?. The velocity is positive if moving downward, negative if up. 6.0 m/s T.N 756 1.9 3.8 Answe: v m/s

Please help with the attached problem.

2. The spheres have a mass of 7.50 kg each and are moving at v = 3.50 m/s at time t = 0 as shown. The shaft and frame have negligible mass. A time dependent driving moment M=4-t² is applied. Calculate the speed of the spheres at time t = 6.00 s. M 0.5 m