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Nov 2022 p41 q4
4034
A block of mass 8 kg is placed on a rough plane which is inclined at an angle of 18° to the horizontal. The block is pulled up the plane by a light string that makes an angle of 26° above a line of greatest slope. The tension in the string is \(T\) N (see diagram). The coefficient of friction between the block and plane is 0.65.
(a) The acceleration of the block is 0.2 m/s². Find \(T\).
(b) The block is initially at rest. Find the distance travelled by the block during the fourth second of motion.
Solution
(a) Resolve forces parallel to the plane using Newton's second law: