Home
Class 11
PHYSICS
A force vector (50 N) is making and angl...

A force vector (50 N) is making and angle of 30 degrees with X axis has a horizontal component of magnitude ___
a) 25
b) 25√3
c) 50
d) 100/√3

Text Solution

Verified by Experts

Let the bob falls A the mass of bob -m mass of cart =M
Initially their centre of mass will be at a distance (from P)
`=(mxxL+Mxx0)/(M+m)=m/(M+m)L`
When the bob falls in the slot the CM is at a distance O from P.

shift CM `=0-(mL)/(M+m)`
`=-(mL)/(M+m)` towards left
`=(mL)/(M+m)` towards right.
but there is no exterN/Al force in horizontal direction.
So the cart displaces a distance `(mL)/(M+m)` towards right.
Promotional Banner

Similar Questions

Explore conceptually related problems

A displacement vector, at an angle of 30^(@) with y-axis has an x-component of 10 units. Then the magnitude of the vector is-

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

A force is inclined at an angle of 30^(@) from the horizontal. If the horizontal component of the force is 20N,calculate the vertical component.

A circular coil of radius 10 cm, 500 turns and resistance 2 Omega is placed with its plane perpendicular to the horizontal component of the earth’s magnetic field. It is rotated about its vertical diameter through 180^@ in 0.25 s. Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth’s magnetic field at the place is 3.0 ×x 10^(-5) T.

The equation of tangent of y^(2) = 12 x and making an angle (pi)/(3) with X - axis is . . . .

X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

Assertion: A body of weight 10N (W) is at rest on an inclined plane (mu=sqrt(3)/(2)) making an angle of 30^(@) with the horizontal. The force of friction acting on it is 5N Reason: In above situation, the limiting force of friction is given by f_("limitting")=mu W cos theta=7.5N .

A vector vec(A) and vec(B) make angles of 20^(@) and 110^(@) respectively with the X-axis. The magnitudes of these vectors are 5m and 12m respectively. Find their resultant vector.

Two equal forces are acting at a point with an angle of 60^(@) between them. If the resultant force is equal to 40sqrt(3)N , The magnitude of each force is :-