Bob in frame S , is observing the moving plank of Exercise 38. He quickly fabricates a wall, fixed in his frame, that has a hole of length L and that is slanted at angle ?, such that the plank will completely fill the hole as it passes through. This occurs at the instant t = 0 . According to Anna, moving with the plank, the plank is of course not of length L , but of length L 0 . Moreover, because Bob’s wall moves relative to her, Ana sees a hole that is less than L in length: a plank longer than L is headed toward a hole shorter than L . Can the plank pass through the hole according to Anna? Can the plank pass through the hole according to Anna? If so, what time(s)? Explain.
Bob in frame S , is observing the moving plank of Exercise 38. He quickly fabricates a wall, fixed in his frame, that has a hole of length L and that is slanted at angle ?, such that the plank will completely fill the hole as it passes through. This occurs at the instant t = 0 . According to Anna, moving with the plank, the plank is of course not of length L , but of length L 0 . Moreover, because Bob’s wall moves relative to her, Ana sees a hole that is less than L in length: a plank longer than L is headed toward a hole shorter than L . Can the plank pass through the hole according to Anna? Can the plank pass through the hole according to Anna? If so, what time(s)? Explain.
Bob in frame S, is observing the moving plank of Exercise 38. He quickly fabricates a wall, fixed in his frame, that has a hole of length L and that is slanted at angle ?, such that the plank will completely fill the hole as it passes through. This occurs at the instant
t
=
0
. According to Anna, moving with the plank, the plank is of course not of length L, but of length
L
0
. Moreover, because Bob’s wall moves relative to her, Ana sees a hole that is less than L in length: a plank longer than L is headed toward a hole shorter than L. Can the plank pass through the hole according to Anna? Can the plank pass through the hole according to Anna? If so, what time(s)? Explain.
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 \((-180^{\circ},180^{\circ}]\).
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V)
ammeter
I =
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