PLEASE SHOW WORK HAVE THE ANSWERS What is the acceleration of the system while b

Question

PLEASE SHOW WORK HAVE THE ANSWERS

What is the acceleration of the system while both masses are moving? What is the tension in the cord while the two masses are moving? Refer to the following information for the next five questions. A massless, frictionless pulley is secured at the top of a frictionless, 30 degree incline. Alight cord is then passed over the pulley and connected on each end to a 5-kg mass, The system will remain in equilibrium: that is, the 5- kg resting on the incline will not move up or down. True False When the system begins to move, what acceleration will each mass experience? While the system accelerates, what is the tension in the cord? If the system is initially at rest, how much time will it take for the mass hanging off the back of the incline to fall 40 cm? After the sliding mass hits the pulley the cord gets tangled and the system stops moving. What is the tension in the cord while the hanging mass remains suspended over the floor?

Explanation / Answer

False

Mg-T=Ma apply eq for 5kg mass hanging

5g-T=5a......eq1

T-5gsin 30= 5a.........eq2

Solve bove two equations for a and T we get

a=2.45m/s^2

T=36.75N

Time to fall 40cm wil be s=ut+12×at^2 second eq of motion

40=1/2×2.45t^2

t=5.7s

T=5×9.8=49N

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