The diagram to the right shows a block attached to a Hookean spring on a frictionless surface. The block experiences no net force when it is at position B. The block is pushed to position A and then released. It then oscillates between positions A and C. Question 1 If the distance "d" is equal to 14 meters and the block takes 31 seconds to make 36 oscillations, what is the period of this spring-mass system? [Precision 0.0]
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Step 1: Calculate the frequency of the spring-mass system using the given information that the block takes 31 seconds to make 36 oscillations. Show more…
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1. A block with a mass of 0.750 kg is connected to a spring, displaced in the positive direction a distance of 50.0 cm from equilibrium, and released from rest at t = 0. The block then oscillates without friction on a horizontal surface. After being released, the first time the block is a distance of 35.0 cm from equilibrium is at t = 0.200 s. (a) What is the block's period of oscillation? s (b) What is the the value of the spring constant? N/m (c) What is the block's velocity at t = 0.200 s? (Indicate the direction with the sign of your answer.) m/s (d) What is the block's acceleration at t = 0.200 s? (Indicate the direction with the sign of your answer.) m/s2
Ivan K.
A 36-kg mass is placed on a horizontal frictionless surface and then connected to walls by two springs with spring constants $k_{1}=3 \mathrm{~N} / \mathrm{m}$ and $k_{2}=4 \mathrm{~N} / \mathrm{m},$ as shown in the figure. What is the period of oscillation for the $36-\mathrm{kg}$ mass if it is displaced slightly to one side? a) $11 \mathrm{~s}$ d) $20 \mathrm{~s}$ b) $14 \mathrm{~s}$ e) $32 \mathrm{~s}$ c) $17 \mathrm{~s}$ f) 38 s
For the system shown in Fig. $17-17$, the block has a mass of $1.52 \mathrm{~kg}$ and the force constant is $8.13 \mathrm{~N} / \mathrm{m} .$ The frictional force is given by $-b(d x / d t)$, where $b=227 \mathrm{~g} / \mathrm{s}$. Suppose that the block is pulled aside a distance $12.5 \mathrm{~cm}$ and released. (a) Calculate the time interval required for the amplitude to fall to one-third of its initial value. $(b)$ How many oscillations are made by the block in this time?
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