A child of mass m sits on top of a rectangular slab of mass M = 35 kg, which in turn rests on the frictionless horizontal floor at a pizza shop. The slab is attached to a horizontal spring with spring constant k = 430 N/m (the other end is attached to an immovable wall. Fig. 14–45). The coefficient of static friction between the child and the top of the slab is μ = 0.40. The shop owner’s intention is that, when displaced from the equilibrium position and released, the slab and child (with no slippage between the two) execute SHM with amplitude A = 0.50 m. Should there be a weight restriction for this ride? If so, what is it? FIGURE 14–45 Problem 90.
A child of mass m sits on top of a rectangular slab of mass M = 35 kg, which in turn rests on the frictionless horizontal floor at a pizza shop. The slab is attached to a horizontal spring with spring constant k = 430 N/m (the other end is attached to an immovable wall. Fig. 14–45). The coefficient of static friction between the child and the top of the slab is μ = 0.40. The shop owner’s intention is that, when displaced from the equilibrium position and released, the slab and child (with no slippage between the two) execute SHM with amplitude A = 0.50 m. Should there be a weight restriction for this ride? If so, what is it? FIGURE 14–45 Problem 90.
A child of mass m sits on top of a rectangular slab of mass M = 35 kg, which in turn rests on the frictionless horizontal floor at a pizza shop. The slab is attached to a horizontal spring with spring constant k = 430 N/m (the other end is attached to an immovable wall. Fig. 14–45). The coefficient of static friction between the child and the top of the slab is μ = 0.40. The shop owner’s intention is that, when displaced from the equilibrium position and released, the slab and child (with no slippage between the two) execute SHM with amplitude A = 0.50 m. Should there be a weight restriction for this ride? If so, what is it?
FIGURE 14–45
Problem 90.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
A 23.0-kg backpack is suspended midway between two trees by a light cord as in Fig. 9–51. A bear grabs the backpack and pulls vertically downward with a constant force, so that each section of cord makes an angle of 27° belowthe horizontal. Initially, without the bear pulling, the angle was 15°; the tension in the cord with the bear pulling is double what it was when he was not. Calculate the force the bear is exerting on the backpack.
When a mass of 25 kg is hung from the middle of a fixed
straight aluminum wire, the wire sags to make an angle of
12° with the horizontal as shown in Fig. 9–83. Determine
the radius of the wire.
12°
12°[
FIGURE 9-83
| 25 kg
Problem 65.
The figure shows an overhead view of a 0.025 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless
table. Force F has a magnitude of 7 N and is at 0, = 29°. Force F, has a magnitude of 9 N and is at e, = 26". In unit-vector
(12 – 16) m/s, and (c) has the
notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity
= (14i – 13fj) m/s², where t is time?
(a) Number
i+
jUnits
(b) Number
i+
jUnits
(c) Number
i+
jUnits
Chapter 14 Solutions
Physics for Scientists and Engineers with Modern Physics
University Physics with Modern Physics (14th Edition)
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