Two springs of spring constants k and k are con- nected to either side of a...
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Two springs of spring constants k₁ and k₂ are con- nected to either side of a block of mass m. The block lies on a frictionless horizontal surface. For simplicity, assume that both springs are at the nat- ural lengths at the equilibrium position. Let x be the displacement of the block from the equilibrium position. (a) (4 marks) Draw a free body diagram of the block. (b) (12 marks) Show that the block undergoes simple harmonic motion. Find the natural frequency of oscillation wo. k₁ 0 0 0 0 0 0 0 ➤X m k2 ooooooooo (c) (4 marks) Suppose that the block is released from rest at an initial displacement of co. Write down the position x(t) and the velocity v(t) as a function of time. Two springs of spring constants k₁ and k₂ are con- nected to either side of a block of mass m. The block lies on a frictionless horizontal surface. For simplicity, assume that both springs are at the nat- ural lengths at the equilibrium position. Let x be the displacement of the block from the equilibrium position. (a) (4 marks) Draw a free body diagram of the block. (b) (12 marks) Show that the block undergoes simple harmonic motion. Find the natural frequency of oscillation wo. k₁ 0 0 0 0 0 0 0 ➤X m k2 ooooooooo (c) (4 marks) Suppose that the block is released from rest at an initial displacement of co. Write down the position x(t) and the velocity v(t) as a function of time.
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k 6 b Equilibrium position x 0 total Forces by the springs ... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
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