Question

PLEASE USE FOUR FORCES IN TERMS OF F (FRICTION) N(NORMAL REACTION) T(TENSION IN THE ROPE) AND W(WEIGHT)

Question 6 20 marks You should be able to answer this question after studying Unit 5 A mountain rescue team is preparing to move a stretcher (with an injured climber) down a flat slope. The combined mass of the climber and stretcher is 110 kg, and the slope makes an angle of 15° with the horizontal. The stretcher is held at rest by a rope that makes an angle of 20° with the upward slope. The stretcher is on the point of slipping down the slope. The coefficient of static friction between the slope and the stretcher is 0.2 rope 20° stretcher Model the stretcher and climber as a particle, the slope as a plane and the rope as a model string. Take the magnitude of the acceleration due to gravity to be g 9.8ms2, and round your answers to two significant figures (a) Draw a force diagram showing the four forces acting on the stretcher Define the symbols that you use to denote the forces Choose the unit vector i to be parallel to and pointing up the slope, and the unit vector j to be perpendicular to the slope and pointing upwards. Mark these vectors on your diagram (b) Express the forces in component form, in terms of unknown magnitudes where appropriate. Hence determine the magnitude in newtons) of the tension in the rope [12]

Answer 1

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