A pendulum consists of a mass hanging from a light string. The mass swings from

Question

A pendulum consists of a mass hanging from a light string. The mass swings from point A to point C as shown in the diagram.

(a) A pendulum consists of a mass hanging from a light string. The mass swings from point A to point C as shown in the diagram. When it reaches point B, the lowest point in the swing, what is the direction of the its momentum, p? E. Zero (no direction) (b) When the mass reaches point B what is the direction of the its rate of change of momentum, dp/dt? E. Zero (no direction) (c) When the mass reaches point B, which of the following diagrams best shows the relative magnitudes and directions of the forces acting on the mass? (You may ignore air resistance.) string string string string motion grav grav grav

Explanation / Answer

(A) the direction of velocity is the direction of momentum so option (B)

(B) The rate of change of momentum direction will be direction of force .SInce motion is circular so net force is always toward center so toward center means option (A) is correct

(C) The FBD will include Fgravitation,Fstring and centripetal force =mv^2/r and Fstring=Fgravitation+mv^2/r so Fstring>Fgravitation so option(C) is correct

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