Predict/Calculate A popular ride at amusement parks is illustrated in Figure 6-74 . In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a) Find the centripetal acceleration of the riders. (b) Find the angle θ the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6-74 or as shown in the photo on page 178 , you will notice that all the swings are at the same angle θ to the vertical, regardless of the weight of the rider. Explain.
Predict/Calculate A popular ride at amusement parks is illustrated in Figure 6-74 . In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a) Find the centripetal acceleration of the riders. (b) Find the angle θ the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6-74 or as shown in the photo on page 178 , you will notice that all the swings are at the same angle θ to the vertical, regardless of the weight of the rider. Explain.
Predict/Calculate A popular ride at amusement parks is illustrated in Figure 6-74. In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a) Find the centripetal acceleration of the riders. (b) Find the angle θ the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6-74 or as shown in the photo on page 178, you will notice that all the swings are at the same angle θ to the vertical, regardless of the weight of the rider. Explain.
A pendulum has a 0.4-m-long cord and is given a tangential velocity of 0.2 m/s toward the
vertical from a position 0 = 0.3 rad.
Part A
Determine the equation which describes the angular motion.
Express your answer in terms of the variable t. Express coefficients in radians to three significant figures.
ΜΕ ΑΣΦ
vec
(t)=0.3 cos (4.95t) + 0.101 sin (4.95t)
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Part A
■Review
The uniform 150-lb stone (rectangular block) is being turned over on its side by pulling the
vertical cable slowly upward until the stone begins to tip.
(Figure 1)
If it then falls freely (T = 0) from an essentially balanced at-rest position, determine the speed at which the corner A strikes the pad at B. The stone does not slip at its corner C as it falls. Suppose that height of the stone is
L = 1.2 ft.
Express your answer to three significant figures and include the appropriate units.
?
ft
VA 10.76
S
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Consider the circuit shown in the figure. The battery has emf ε = 69 volts and negligible internal resistance. The inductance is L = 0.4 H and the resistances are R 1 = 12 Ω and R 2 = 9.0 Ω. Initially the switch S is open and no currents flow. Then the switch is closed. After leaving the switch closed for a very long time, it is opened again. Just after it is opened, what is the current in R 1?
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