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Question 18 (13 marks) A man is moving a 35.0 kg bookshelf and is startled by a cat with a mass of 16.0 kg. The bookshelf becomes unbalanced and the man supports it as shown in the diagram below. The cat jumps on to the bottom end of the bookshelf and begins walking towards the top of it. The man always applies a force at right angles to the bookshelf to prevent it falling on to him. 500 (a) The bookshelf is 2.40 m tall with a uniformly distributed mass. The man is pushing with a maximum force of 270 N at a distance of 0.600 m from the top end of the bookshelf. Calculate how far up from the bottom end of the bookshelf the cat can walk before the man is unable to support it. (4 marks) Distance: m SEE NEXT PAGE Physics Units 3 & 4 19 (b) Calculate the magnitude of the reaction force the carpet applies to the bookshelf when the man must push with his full strength. (4 marks) Force : N (c) Describe how the direction of the reaction force the carpet applies to the bookshelf changes as the cat walks up the bookshelf. Explain your reasoning (no calculations required)