* Two identical lightweight arms are mounted so that they can revolve in a horizontal plane around a common axis. Two balls of masses m and 3 m are fixed to the ends of the arms and connected with a light compressed spring (see the top view in Figure P6.69 ). When the spring is released, the arms are pushed apart, rotate in opposite directions, and finally collide. What is the angle through which each arm turns before they collide? Indicate any assumptions that you made.
* Two identical lightweight arms are mounted so that they can revolve in a horizontal plane around a common axis. Two balls of masses m and 3 m are fixed to the ends of the arms and connected with a light compressed spring (see the top view in Figure P6.69 ). When the spring is released, the arms are pushed apart, rotate in opposite directions, and finally collide. What is the angle through which each arm turns before they collide? Indicate any assumptions that you made.
* Two identical lightweight arms are mounted so that they can revolve in a horizontal plane around a common axis. Two balls of masses m and 3m are fixed to the ends of the arms and connected with a light compressed spring (see the top view in Figure P6.69). When the spring is released, the arms are pushed apart, rotate in opposite directions, and finally collide. What is the angle through which each arm turns before they collide? Indicate any assumptions that you made.
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 \((-180^{\circ},180^{\circ}]\).
Chapter 6 Solutions
College Physics: Explore And Apply, Volume 2 (2nd Edition)
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