review2 - Classical Mechanics Review 2 Units 1-9 Second Midterm Friday June 17 Mechanics Review 2 Slide 1 Important Formulas Work of a Force If F is

review2 - Classical Mechanics Review 2 Units 1-9 Second...

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Classical Mechanics Review 2: Units 1-9 Mechanics Review 2 , Slide 1 Second Midterm Friday, June 17
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Important Formulas Mechanics Review 2 , Slide 2 Work of a Force: Conservation of Energy: Work-Kinetic Energy Theorem: Potential Energy of a Conservative Force: Mechanical Energy: If F is constant: Forces of kinetic and static friction: ) ( friction except NC k W d f E K W net x d x F U x x c 2 1 ) ( U K E f k k N , f s s N
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Example: Work and Inclined planes The block shown has a mass of m = 1.58 kg . The coefficient of friction is µ k = 0.550 and θ = 20.0 o . If the block is moved a distance d = 2.25 m up the incline, calculate: (a) the work done by gravity on the block; (b) the work done on the block by the normal force; (c) the work done by friction on the block. (d) the change in kinetic energy Mechanics Review 2 , Slide 3 M For a constant Force: 0 N W d mg W g ) sin ( d mg W k f ) cos ( K W W W net  2 1
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Example: Blocks, Pulley and Spring Two blocks m 1 = 4 kg and m 2 = 6 kg are connected by a string that passes over a pulley. m 1 lies on a inclined surface of 20 o with coefficient of friction μ k = 0.12 , and is connected to a spring of spring constant k = 120 N/m . The system is released from rest when the spring is unstretched. Find the speed of the blocks when m 2 has fallen a distance D = 0.2 m . At what distance d does the acceleration of the blocks becomes zero ? Mechanics Review 2 6, Slide 4 20 o m 1 m 2 20 o k a is not constant ! a = 0 when: E   f k D sin 1 2 gD m gD m E i 2 2 2 1 2 1 ) ( 2 1 kD v m m E f 0 1 a m F 0 2 a m F
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Example: Block slides down the hill A block of mass m starts from rest at the top of the frictionless, hemispherical hill of radius R .
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