A small sphere of mass m hangs by a cord from the ceiling of a boxcar that is ac

Question

A small sphere of mass m hangs by a cord from the ceiling of a boxcar that is accelerating to the right as shown in the figure. The noninertial observer in figure (b) claims that a force, which we know to be fictitious, causes the observed deviation of the cord from the vertical. How is the magnitude of this force related to the boxcar's acceleration measured by the inertial observer in figure (a)?

A block is placed on the frictionless surface of a wedge as shown in the figure. The wedge is pulled to the right with an acceleration of 2.20 m/s2 and the block does not slide up or down the surface. What is the angle (?) that the wedge makes with the horizontal?

(?) = ?

Explanation / Answer

(a)Ffictitious = ma

(b) let normal force be N

then Ncos = mg

Nsin = ma

Tan = a/g

which gives = Tan-1(a/g) = Tan-1(2.2/9.8) = 12.65 degrees

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