Recently Active Mechanics Questions

A rod of length 'l' and mass M is at rest on a smooth plane. A ball of mass 'm' hits it at a length say ('l'/3) with a speed 'v' and then the ball stops. Find the location of the point on the rod whose locus (after the strike ...

consider a string attached to a pully(massless & frictionless).Take a part of string attached directly with the pully.Draw FBD.You will find that the string is pulled by two tensions of equal magnetude.As they are equal, so t ...

A body traveling along x-axis starts from origin with initial velocity Vo and retardation KV3 where V is instantaneous velocity of the body (A)velocity of the body at any instant is 2Vo2Kt+1 (B)velocity of the body at any ins ...

The x and y co-ordinate of the moving body are x=3t2and y=5t2 (A)velocity of the body is making angle tan-1 5/3 with +ve x-axis (B)the angle between velocity and acceleration is 0o (C)the path followed by the body is a straig ...

From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is: (a)4MR2 (b)40MR2/ ...

Four 2 kg masses are connected by 0.25 m spokes to an axle.A force of 24 N acts on a lever 0.5 m long to produce angular acceleration x. The magnitude of x in SI units is: (a)24 (b)12 (c)6 (d)3 ...

A cube of side length a is kept on top of a hemisphere of radius r.For the body to be in stable equilibrium for small displacements what should be the maximum value of a?? ...

The acceleration of a particle is given by a(t)=(3.00m/s2)-(2.00m/s3)t. (a)Find the initial speed vosuch that the particle will have the same x-coordinate at t=5.00s as it had at t=0. (b)What will be the velocity at t=5.00s? ...

Area of triangle ABC if position vector of A is a position vector of B is b and position vector of C is c Area= (axb+bxc+cxa)/2 Prove the above relation. ...

a body is thrown vertically upwards. if air resistance is to be taken into account,then the time during which the body rises is a)equal to the time of fall b)less than the time of fall c)greater than the time of fall d)twice ...

*Image* Consider a system as shown in the figure where the pulleys and the strings are ideal... m1=1kg m2=2kg m3=.5kg a)if frictionless find the acceleration of all the masses... b)friction between each of the bodies is 0.1 c ...

A person throws a bottle into a dustbin at the same height as he is 2m away at an angle of 45°. The velocity of the bottle thrown is: Q 1. g 2. √g 3. 2g 4.√2g g comes inside the root in respective cases. ...

A simple pendulum consists of a bob of mass m and a light string of length l.Initially it is hanging vertically.Another identical ball moving with small velocity v0 horizontally collides with the pendulum's bob and sticks to ...

what is the value of acc. due to gravity on the planet's surface a) 1m/s^2 b) 2m/s^2 c) 4m/S^2 d) 9.8m/s^2 . . please explain. ...

I am drinking a glass of lassi or juice. I insert a straw (perpendicularly) inside it. Let's say that for a certain value of the thickness(density) of the juice, the straw stands still straight. what is the minimum density of ...

A particle is projected vertically upwards and reaches the maximum height H in time T. The height of the particle at any time t will be (a)g(t-T)2 (b)H-g(t-T)2 (c) g(t-T2)/2 (d)H- g(t-T)2/2 ...

A body of mass 10 kg is being acted upon by a force 3t2and an opposing constant force of 32N.The initial speed is 10ms-1.The velocity of body after 5s is (a)14.5ms-1 (b)6.5ms-1 (c)3.5ms-1 (d)4.5ms-1 (According to me, accelera ...

A point mass starts moving in a straight line with constant acceleration.After time to the acceleration changes its sign,remaining the same in magnitude.Determine the time t from the beginning of motion in which the point mas ...

An ant is at a corner of a cubical room of side a.The ant can move with a constant speed u.The minimum time taken to reach the farthest corner of the cube is (a) 3a/u (b) 3 a/u (c) 5 a/u (d) ( 2 +1)a/u (According to me, if th ...

The velocity of a particle moving in a straight line is decreasing at the rate of 3m/s per metre of displacement at an instant when the velocity is 10 m/s.Determine the acceleration of the particle at this instant. ...

A car starts from rest and accelerates at constant rate in a straight line.In the first second the car covers a distance of 2m.The velocity of the car at the end of second(sec)will be (a)4.0ms-1 (b)8.0ms-1 (c)16ms-1 (d)None o ...

A boat is moving with a velocity (3i+4j)with respect to ground.The water in the river is moving with a velocity -3i-4j with respect to ground.The relative velocity of the boat with respect to water is (a)8j (b)-6i-8j (c)6i+9j ...

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A river is 20 m wide.River speed is 3 m/s.A boat starts with velocity 2√2 m/s at angle 45° from the from the river current(relative to river).How far from the point directly opposite to the starting point does the boat rea ...

A person walks up a stalled 15m long escalator in 90s.When standing on the same escalator,now moving,the person is carried up in 60s.How much time would it take that person to walk up the moving escalator?Does the answer depe ...

1)If the velocity v of a particle moving along a straight line decreases linearly with its displacement from 20m/s to a value approaching zero at s=30m,determine the acceleration of the particle when s=15m. (Can u please solv ...

A particle moves along a horizontal path,such that its velocity is given by v=(3t2-6t)m/s,where t is the time in seconds.If it is initially located at the origin O,determine the distance travelled by the particle in time inte ...

Two particles A and B start moving simultaneously along the line joining them in the same direction with acceleration of 1 m/s2 and 2 m/s2 and speeds 3 m/s and 1 m/s respectively.Initially A is 10m behind B.What is the minimu ...

If a and b are two vectors then the value of (a+b)x(a-b) is (a)2(bxa) (b)-2(bxa) (c)bxa (d)axb ...

A particle is moving in a circle of radius 4 cm with constant speed of 1m/s.Find average acceleration in a time interval from t=0 to t=T/4.Here,T is the time period if the particle.Give only the magnitude.(T turns out be abou ...