Home
Class 12
PHYSICS
A square plate of mass 10 kg and side 20...

A square plate of mass `10 kg` and side `20 m` is moving along the groove with the help of two ideal roller (massless), connected at the corners `A` and `B` of the square as shown in the figure. At the given instant of time during motion (as shown in the figure), the corner `A` is moving with velocity `16 m//s` downward. Find the speed of corner `D`(approximately).

A

`32.5 m//s`

B

`16.5 m//s`

C

`8.5 m//s`

D

none

Text Solution

Verified by Experts

`cos37^(@)=x//arArrx=4a//5=16mrArromega=1rad//s`.
`cos53^(@)=(a^(2)+x^(2)-y^(2))/(2ax)`
`rArr a^(2)+x^(2)-y^(2)=384`
`rArry^(2)=400+256-384=272`
`y=16.5m` (approximately)
`v_(D)=yomega=16.5m//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

A system is shown in the figure. Block A moves with velocity 10m//s . The speed of the mass B will be :

Four point masses are placed at the corners of a square of side 2 m as shown in the figure. Find the centre of mass of the system w.r.t. the centre of square.

Charges q, 2q,3q and 4q are placed at the corners A,B,C and D of a square as shown in the following figure. The directon of electric field at the centre of the square is along

Charges q, 2q,3q and 4q are placed at the corners A,B,C and D of a square as shown in the following figure. The directon of electric field at the centre of the square is along

Four particles of masses 2,2,4,4 kg are arranged at the corners A,B,C,D of a square ABCD of side 2m as shown in the figure. The perpendicular distance of their centre of mass from the side AB is

A square plate ABCD of mass m and side l is suspended with the help of two ideal strings P and Q as shown. Determine the acceleration (in m//s^(2)) of corner A of the square just at the moment the string Q is cut. (g = 10 m//s^(2)) .

A particle of mass m moves with constant speed v on a circular path of radius r as shown in figure. The average force on it during its motion from A to B is

The acceleration-time graph of a particle moving along x-axis is shown in the figure. If the particle starts with velocity 3 m/s at t = 0, find the velocity of particle at t = 4 s.

Four point charges Q, q, Q and q are placed at the corners of a square of side' a' as shown in the figure. Find the . (a) resultnat electric force on a charge Q and . (b) potential energy of this system.

Four point masses 1 kg, 1 kg, 2 kg and 2 kg are placed at the corners of a square of side a m as shown in Fig. Find the centre of mass of the system.