
A wooden block of mass M sits on a flat metal table which can be made to oscillate horizontally in simple harmonic motion. The coefficient of static friction between the block and table is mu. When the table oscillates, the horizontal position x of the block can be expressed as x(t) = L cos(omega t) where L is the amplitude of the oscillation and omega is the angular frequency of the oscillation. For a given amplitude, what is the maximum...
A piston that has a small toy car sitting on it is undergoing simple harmonic motion vertically, with amplitude of A = 3.75 cm, When the frequency of the oscillation is low the car stays one the piston. However, when the frequency is increased sufficiently, the car leaves the piston. What is the maximum frequency at which the car will remain in place on the piston
A small block of mass 4.2 kg sits on top of a block of mass 19.8 kg. The lower block is attached to a spring with spring constant 248 N/m and can slide on a horizontal frictionless surface. The coefficient of friction between the blocks is 0.4. What is the maximum possible amplitude of simple harmonic motion, xm, of the spring-blocks system if no slippage is to occur between the blocks?
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A mass sits on a platform which oscillates vertically in simple harmonic motion at a frequency of 5 Hz. Show that the mass loses contact with the platform when the amplitude exceeds 1 cm. (Assume g 9.8 m/s2.) Hints: The mass loses contact with the platform if the downward acceleration of the platform exceeds g. To keep the mat i.e., choose x = A...
The end of a diving board can oscillate with a frequency of 2.9 Hz. Assume it behaves like a simple harmonic oscillator in what follows. Before we deal with the diving board, first consider you have a mass, ?m, on a spring with spring constant, ?, oscillating with a certain frequency, ? and amplitude, ?. Derive an equation for ... a) the magnitude of the maximum speed of the oscillator in terms of the frequency, ? and the amplitude of...
A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 5.0 cm. If a timer is started when its displacement is a maximum (hence x = 8 cm when t = 0), what is the acceleration magnitude when t = 3 s? Question 22 options: zero 8.15 m/s2 25.3 m/s2 31.6 m/s2
When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system: (a) The angular frequency (rad/sec) b) Th Period of the oscilation (sec) c) The frequency (Hz) d) The maximum speed (m/s) (e) Maximum acceleration (m/s2)
When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system (a) The angular frequency (rad/sec) (b) Th Period of the oscilation (sec) (c) The frequency (Hz) (d) The maximum speed (m/s) (e) Maximum acceleration (m/s2)
QUESTION 10 When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system: (a) The angular frequency (rad/sec) QUESTION 11 When a 200 g mass attached to a horizontal spring (k-25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system. (b) Th...
A simple pendulum comprised of a bob of mass m = 162 g and a lightweight string of length 71.0 cm is released from rest from an initial angle of 24.0° from the vertical. (a) Using the approach of simple harmonic motion, what is the maximum speed of the pendulum bob? m/s (b) Using the approach of simple harmonic motion, what is the maximum angular acceleration of the bob? rad/s2