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Must show all your work!!! PLease show clear, concise and correct work. Thanks I

ID: 2994342 • Letter: M

Question

                        Must show all your work!!! PLease show clear, concise and correct work. Thanks

                        
                    

                        In the diagram, the solid block B, starts from an at rest state and travels up the incline 2 ft in 1 second, with constant acceleratoin due to the force F                         acting on B. Neglect the friction between the surfaces. (show all kinematic and FBD)                     

                        
                    

                        A.) Acceleration of A and B                     

                        B.) Magnitude of the force F                     

                        C.) Tension in the cable                     

Must show all your work!!! PLease show clear, concise and correct work. Thanks In the diagram, the solid block B, starts from an at rest state and travels up the incline 2 ft in 1 second, with constant acceleratoin due to the force F acting on B. Neglect the friction between the surfaces. (show all kinematic and FBD) Acceleration of A and B Magnitude of the force F Tension in the cable

Explanation / Answer

A)

s = 0.5*a*t^2

2 = 0.5*a*1

a = 4 ft/s^2 ......for both A and B


B)

F = mB*a = 4*10 = 40   


C)

Tension = mB*a + mB*g* sin 30 = 10*(4 + 32.17*sin30) = 200.85