Question

System is shown in the figure. Assume that cylinder remains in contact with the two wedges. The velocity of cylinder is –

• A. $\sqrt { 19 - 4 \sqrt { 3 } } \frac { \mathrm { u } } { 2 } \mathrm {~m} / \mathrm { s }$
• B. $\frac { \sqrt { 13 } \mathrm { u } } { 2 } \mathrm {~m} / \mathrm { s }$
• C. $\sqrt { 3 } \mathrm { um } / \mathrm { s }$
• D. $\sqrt { 7 } \mathrm { um } / \mathrm { s }$

Answer 1

Answer: (D)

$\sqrt { 7 } \mathrm { um } / \mathrm { s }$

Answer 2

In the frame of A

3u sin 30⁰ = V_Y cos 30⁰

̃ V_Y = 3u tan 30⁰ = $\sqrt { 3 }$ u

and V_X = 2u ̃ V = $\sqrt { V _ { X } ^ { 2 } + V _ { Y } ^ { 2 } }$ = $\sqrt { 7 }$ u