In Figure 7.42, two blocks with masses m A and m B , where m A > m B , are attached to a thin string that passes over a frictionless pulley. The larger mass is resting on a spring that is initially at its rest length. The masses are then released so that the heavier mass falls. How does the change in the elastic potential energy of the spring compare to the change in the gravitational potential energy of the system of masses as the heavier mass falls all the way to the point where it momentarily comes to rest? Explain your reasoning. What about while the heavier mass is still falling? Figure 7.42 Question 15.
In Figure 7.42, two blocks with masses m A and m B , where m A > m B , are attached to a thin string that passes over a frictionless pulley. The larger mass is resting on a spring that is initially at its rest length. The masses are then released so that the heavier mass falls. How does the change in the elastic potential energy of the spring compare to the change in the gravitational potential energy of the system of masses as the heavier mass falls all the way to the point where it momentarily comes to rest? Explain your reasoning. What about while the heavier mass is still falling? Figure 7.42 Question 15.
In Figure 7.42, two blocks with masses mA and mB, where mA > mB, are attached to a thin string that passes over a frictionless pulley. The larger mass is resting on a spring that is initially at its rest length. The masses are then released so that the heavier mass falls. How does the change in the elastic potential energy of the spring compare to the change in the gravitational potential energy of the system of masses as the heavier mass falls all the way to the point where it momentarily comes to rest? Explain your reasoning. What about while the heavier mass is still falling?
You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?
For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you
A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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