Comparing Vectors

Q.

Two forces, whose magnitude are at the ratio of 3:5 give a resultant of 35 N. If angle of inclination is 60^o, then the magnitude of each force is:

1. 10N, 25N

2. 5 N , 3N

3. 25 N, 5N

4. 15N, 25N

Q. two bodies of masses 100 kg and 1000 kg are separated by dis†an ce 1m what is the intensity of gravitational field at the midpoint of the line joining them

Q. The direction of the angular velocity vector is along the axis of rotation.How??

Q.

17. Three forces F1= (2i +4j) N; F2 =(2j -k)Nand F3= (k-4i-2$\hat{j}$ )Nare applied on an object

of mass 1 kg at rest at origin. The position of the object at t =2s will be:

(1) (-2 m, -6 m)

(2) (-4 m, 8 m)

(3) (3 m, 6 m)

(4) (2 m, -3 m)

Q.

Can we have physical quantities having magnitude and direction but they are not vectors?

1. Yes

2. No

Q. a fan is rotating with speed of 360rev/minute. comes to rest in 6s, on switching of the switch. the number of revolution made by it before coming to rest is

Q. derive an expression for the gravitational field due to a uniform rod of length L and mass M at a point on its perpendicular bisector at a dis†an ce d from the the centre.

Q. the angular speed of earth around its own axis i

Q. Define equal vector.

Q. Two forces, while acting on a particle in opposite directions, have the resultant of 10 N. If they act at right angles to each other, the resultant is found to be 50 N. Find the two forces.

Q.

The angular speed of the hour hand of a watch is :

1. π/2 rad s^-1

2. 

3. 

4. 

Q. two forces eah numerically equal to 10 dynes are acting. then find the resul†an t of these vectors.

Q. A particle moves so that its position vector is giveny, whereis a constant.by r coswt x + sin wtWhich of the following is true?

Q. if length of seconds hands in a clock is 4 cm the angular velocity and linear velocity of the tip is ?

Q. A boat has speed of 12ms^-1 in still water. This boat crosses a river movingat 5ms^-1 at right angle to motion of boat. What is speed of boat in water?

Q. two concentric shells have mass M andm and their radii are R and r whereR greater than r what is the gravitation potential at their commom center

Q.

Two forces make an angle of 60degree . The magnitude of one of the forces is 4N and that of the resultant is 6N . Find the magnitude of the other force.

Q. A rod of length 2m is pivoted at one end A And freely rotated in horizontal plane at an angular velocity of 6rad/s About vertical axis passing point A Suddenly temperature of system is increased by 200°C the percentage change in its angular speed is nearly(alpha = 3x10^-4/K) 18.6% 41% 12% 36%

Q. If a disc of radius r is free to rotate about coplanar tangential axis is released from rest. When it takes to lower vertical position find the angular velocity.

Q. The position vectors of four points A, B, C and D are$\hat{i}+\hat{j}+\hat{k},2\hat{i}+5\hat{j},3\hat{i}+2\hat{j}-3\hat{k},\hat{i}-6\hat{j}-\hat{k}$ respectively. Then select the correct relation.

1. $AB=CD$
2. $AB=\frac{1}{2}CD$
3. $AB=\frac{2}{3}CD$
4. $AB=\frac{1}{4}CD$

Q. The vector sum of two forces is perpendicular to their vector differences. In that case, the forces 1. Are equal to each other 2. Are equal to each other in magnitude 3. Are not equal to each other in magnitude 4. Cannot be predicted

Q. the magnitude of the resultant of the two equal vector is equal to the magnitude of the Other vector angle between two vectors

Q. Two point masses having m and 4m are placed at a distance r. The gravitational potential at a point, where gravitational field intensity zero is

Q.

A force of 5 N acts on a particle along a direction making an angle of 60⁰ with vertical. What will be its vertical component?

Q. Vector law

Q. Q 13/90 The vector sum of the forces 10 N and 6 Ncan be

Q. Does angular velocity depend on r? how and why?

Q. what are vector laws

Q. what will be the gravitational field intensity at a distance x from one end of a thin rod of mass M and length L

Q.

vectors A and B have equal magnitude and magnitude of their resultent is also equal to magnitude of either of them. then angle between vector A and vector B are at an angle of