**Unformatted text preview: **is increased, T decreases, reaches a minimum value at an optimum value of and then increases. The optimum angle depends on the value of m . f f T 5 M 1 a 1 m g 2 . f 5 0°. T cos f 5 Ma . m 5 0. T 5 M 1 a 1 m g 2 cos f 1 m sin f T cos f 2 m Mg 1 m T sin f 5 Ma . T cos f 2 f 5 Ma g F x 5 ma x f 5 m n 5 m Mg 2 m T sin f n 5 Mg 2 T sin f . T sin f 1 n 2 Mg 5 g F y 5 ma y T T cos f Tsin f x y f k n Mg f a 4.05 m / s 2 , a x 5 2 g 1 sin f 2 m k cos f 2 5 2 4.05 m / s 2 2 mg sin f 1 f k 5 ma x g F x 5 ma x 8.55 m / s 2 , a x 5 2 g 1 m k cos f 1 sin f 2 5 2 1 9.80 m / s 2 21 0.30 cos 40.0° 1 sin 40.0° 2 5 2 8.55 m / s 2 2m k mg cos f 2 mg sin f 5 ma x 2 f k 2 mg sin f 5 ma x g F x 5 ma x f k 5 m k mg cos f . n 5 mg cos f g F y 5 ma y ( b ) ( a ) mg cos f sin y n f k f x n f k f x v Applications of Newton’s Laws 5-21...

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