The kinetic energy of a vibrational spring-mass system when the spring at maximum displacement is: O Equals the potential energy O Zero O its constant O Minimum O Maximum
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A: (a) Write the expression for the potential energy (PE) for the pendulum.
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Q: The springs in the figure are NOT equal springs. A box is placed in front of a squezed spring. Whole…
A: Given a motion of particle between two different springs via crossing a hill of finite height.
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A: Energy stored in spring = (1/2)kx2
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A: Vmax = 4m/s
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Q: height
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- A horizontal spring-mass system has low friction, spring stiffness 230 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 12 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion? -0.013 x m (b) What is the maximum speed during the motion? 105 x m/s (c) Now suppose that there is energy dissipation of 0.03 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation? 0.44 X wattfrom its mean position and then released. The maximum *. Force constant of a weightless spring is 16 Nm-1. A body of mass 1 kg suspended from it is pulled down through 5 cm Trom its mean position and then released. The maximum kinetic energy of the body will be (a) 2 x 10-2 J (c) 8 x 10-2J (b) 4 x 10-2 J (d) 16 x 10-2 JU(x) A Question 2: An object with a mass of 0.5kg and potential energy expressed as U(x)=A(x-2)²+B makes a simple harmonic motion around equlibrium point x=2cm. In order for the frequency to be 5Hz what is the values (and unit) of the constant A? 4- -x(cm)
- N 4 99% 16:34 20 rad/s O 2.5 rad/s A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: O 3.8 m/s O 2.4 m/s O 1.8 m/s O 2.1 m/s O 3 m/sUsing the spring force, F = -kx, calculate: a) The work done by an external force stretching the spring a distance L away from the equilibrium length. b) At a stretch length L, how much potential energy is stored in the spring? If a mass m is attached to the spring and released from a stretch length L, what is the maximum velocity c) of the mass? d) At what x coordinate does this maximum velocity occur?In simple harmonic motion, the displacement is maximum when the O velocity is zero O kinetic energy is maximum O displacement is zero O acceleration is zero O velocity is maximum O none of these
- A simple harmonic oscillator consists of a mass m attached to a spring with spring constant k, with displacement given by x = A sin(wt + ¢) . Which one of the following is NOT true? O The frequency is independent of the amplitude O The potential energy is a maximum when (wt + 4) = 0 The kinetic energy is a maximum when (wt + ¢) = 0 O The restoring force must be proportional to the negative of the displacement O Increasing the mass will decrease the frequencyO 0.1 sec A block of mass m = 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 14.4 J. The maximum velocity of block, vmax, is: O 3.8 m/s O 2.1 m/s O 3 m/s ) 2.4 m/s O 18 m/s Aumh the eesiclsr eplaceA 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring, (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 7.5 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.4 cm. m/s Additional Materials
- A 1-kg mass attached to a vertical spring of constant 200 N/m is released from an unstretched positions of the spring. What is the maximum stretch in the spring as the object gets to its lowest position? O 0.1 m O 0.3 m O 0.4 m O 0.2 m O None of theseThe springs in the figure are haO NOT equal springs. A box is placed in front of a squezed spring. Whole system is frictionless. When the box is relesed, what can be said * x= 0 m about the motion. O If the stored energy in the spring is slightly higher to the potential energy of the hill, the oscillation is infinite O It oscillates between the points infinetely O It cannot climb the hill O Oscillation is finite O If the stored energy in the spring is higher than the potential energy of the hill, the oscillation is infiniteO 0.052 J O 0.090 J 0.066 J A block of mass m 5 Kg is attached to a spring of spring constant k. The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 22.5 J. The maximum velocity of block, vmax, is: 3 m/s 1.8 m/s () 2.1 m/s 3.8 m/s 2.4 m/s A traveling wave on a taut string with a tension force T. is given by the wave function: y(x.t) = 0.05sin(TIX-10Ttt), where x and y are in meters andtis in