A-sphere-is-rolling-without-slipping-on-a-fixed-horizontal-plane-surface-In-the-Figure-A-is-a-point-of-contact-B-is-the-centre-of-the-sphere-and-C-is-its-topmost-point-Then-a-v-C-v-A-

Question Number 20724 by Tinkutara last updated on 01/Sep/17

A sphere is rolling without slipping on

a fixed horizontal plane surface . In the

Figure, A is a point of contact, B is the

centre of the sphere and C is its topmost

point . Then

(a) {\vec{v}}_{C} - {\vec{v}}_{A} = 2 ({\vec{v}}_{B} - {\vec{v}}_{C})

(b) {\vec{v}}_{C} - {\vec{v}}_{B} = {\vec{v}}_{B} - {\vec{v}}_{A}

(c) ∣ {\vec{v}}_{C} - {\vec{v}}_{A} ∣ = 2 ∣ {\vec{v}}_{B} - {\vec{v}}_{C} ∣

(d) ∣ {\vec{v}}_{C} - {\vec{v}}_{A} ∣ = 4 ∣ {\vec{v}}_{B} ∣

Commented by Tinkutara last updated on 01/Sep/17

Commented by ajfour last updated on 01/Sep/17

(b) a n d (c)

b e c a u s e \vec{v_{C}} = 2 \vec{v_{B}}

a n d \vec{v_{A}} = 0 .

Commented by Tinkutara last updated on 02/Sep/17

Thank you very much Sir!