Question

In the figure shown the acceleration of A is $\overrightarrow { \mathrm { a } } _ { \mathrm { A } }$ = 15 $\hat { \mathbf { i } }$ + 15 $\hat { \mathrm { j } }$ , then the acceleration of B is (A remains in contact with B) –

• A. 6 $\hat { \mathbf { i } }$
• B. –15 $\hat { \mathbf { i } }$
• C. –10 $\hat { \mathbf { i } }$
• D. –5 $\hat { \mathbf { i } }$

Answer 1

Answer: (D)

–5 $\hat { \mathbf { i } }$

Answer 2

From wedge constraint

(a_A)₁ = (a_B)₁

a_Ax cos 53⁰ – a_Ay cos 37⁰

̃ a_B cos 53⁰ a_B

= – 5 m/s

$\overrightarrow { \mathrm { a } } _ { \mathrm { B } }$ = –5 $\hat { \mathbf { i } }$