Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline,

Question

Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline,

Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping,

(a) the heavier sphere reaches the bottom first

(b) the bigger sphere reaches the bottom first

(c) the two spheres reach the bottom together

(d) the information given is not sufficient to tell which sphere will reach the bottom first.

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

(c) the two spheres reach the bottom together

Explanation:

When the solid sphere rolls without slipping, its linear acceleration is given as, a =(5/7)g.sinθ {where θ is the angl of inclination with the horizontal plane.} Clearly the linear acceleration is free of mass and the radius. So both the spheres will have equal accelerations and they will reach the bottom together.