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.
In Fig. 12-31 show that, if the ball is to swing completely around the fixed peg, then d > 3L/5. (Hint: The ball must be moving at the top of its swing; otherwise the string will collapse.)
On the construction site for a new skyscraper, a uniform beamof steel is suspended from one end. If the beam swings back andforth with a period of 2.00 s, what is its length?
A mass of 0.75 kg is attached to a relaxed sprig with k= 2.5 N/m. The mass rests on a horizontal, frictionless surface. If the mads is displaced by 0.33 m, what is the magnitude of the force exerted on the mass by the spring?
University Physics with Modern Physics (14th Edition)
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