The shipping crate shown weighs 13kg and is initially hooked to a stretched spring (stretched length L1 = 0.8m, spring constant k = 1 kN/m, unstretched length L0 = 50 cm). The crate is released from rest at Position A, which is elevated 20 cm from the ground, after which it initially moves up the incline. The spring completely detaches from (and stops interacting with) the crate once the crate has stopped moving up the incline. Assume that the crate maintains its velocity as it transfers from the frictionless slope to the rough horizontal surface (no tumbling). Disregard the geometry of the crate. (a) Determine the work (J) done by friction if the crate makes a complete stop at Position B after travellingΔSB = 9m horizontally from point O (b) Calculate the coefficient of kinetic friction between the crate and the rough surface. (c) Find the deceleration (m/s2) experienced by the crate due to friction with the rough surface. Hint: For (b) and (c), FMA Method may be used in conjunction with Work-Energy method. After the crate comes to a complete stop at Position B, it is pulled horizontally to the right by a robotic arm with a force of P = 60N. (d) Find the final velocity of the crate after it has traveled ΔSC = 15m to the right from Position B
PLEASE SOLVE COMPLETELY AND NEATLY!!!
The shipping crate shown weighs 13kg and is initially hooked to a stretched spring (stretched length L1 = 0.8m, spring constant k = 1 kN/m, unstretched length L0 = 50 cm). The crate is released from rest at Position A, which is elevated 20 cm from the ground, after which it initially moves up the incline. The spring completely detaches from (and stops interacting with) the crate once the crate has stopped moving up the incline. Assume that the crate maintains its velocity as it transfers from the frictionless slope to the rough horizontal surface (no tumbling). Disregard the geometry of the crate.
(a) Determine the work (J) done by friction if the crate makes a complete stop at Position B after travellingΔSB = 9m horizontally from point O
(b) Calculate the coefficient of kinetic friction between the crate and the rough surface.
(c) Find the deceleration (m/s2) experienced by the crate due to friction with the rough surface.
Hint: For (b) and (c), FMA Method may be used in conjunction with Work-Energy method.
After the crate comes to a complete stop at Position B, it is pulled horizontally to the right by a robotic arm with a force of P = 60N.
(d) Find the final velocity of the crate after it has traveled ΔSC = 15m to the right from Position B
Step by step
Solved in 3 steps
