Frequent Mechanics Questions

A plank of mass 10 kg rests on a smooth horizontal surface . Two blocks A and B of masses m = 2kg and m = 1 kg resp. lie at a distance of 3 m on the plank as shown in the figure . The friction coeff. b/w the blocks and plank ...

A thin spherical shell of total mass M and radius R is held fixed. There is a small hole in the shell. A mass m is released from rest at a distance R from the hole along a straight line that passes through the hole and also t ...

A rope ladder with a length L carrying a man of mass m at its end is attached to the basket of a balloon with a mass M. The entire system is in equilibrium in the air. Find the work the man should do to climb into the basket. ...

A tree trunk in form of a cylinder of radius R lies on a horizontal field. A lazy grasshopper wants to jump over it. What minimum launching speed will suffice for it? Assume that the air resistance is negligible and that the ...

A rod OA of mass 4 kg is held in horizontal position by a massless string AB as shown in the figure,Length of the rod is 2 m .Find : a.tension in the string b.net force exerted gy the hingre on the rod *Image* ...

A drinking straw of length 3a/2 and mass 2m is placed on a square table of side 'a' parallel to one of its sides such that one third of its length extends beyond the table.An insect of mass m/2 lands on the inner end ...

3 solid hemispheres, each of radius (R) are placed in contact with each other, side by side, such that their flat surfaces rest on the rough horizontal ground . a solid sphere of mass(m) is symmetrically placed on the top of ...

A sphere of mass m held at a height 2R between a wedge of same mass and a rigid wall,is released from rest.Assuming all the surfaces are frictionless.Find the speed of both the bodies when the sphere hits the ground *Image* ...

A block is traveling down an inclined plane of inclination θ. The height of the inclined plane is H. What will be the time required to slide down the plane. ...

The horizontal and vertical distances traveled by a particle in time t are given by x = 6t and y=8t-5t^2 . If g=10m/sec^2 , then the initial velocity of the particle is a) 8 m/sec b) 10 m/sec c) 5 m/sec d) zero ...

Why is it that we never consider internal forces while considering a particular system? Explain in detail. ...

1) Explain why it easier to pull the roller than to push it with the help of a diagram. 2)A horse cannot pull an empty cart in space. Why is it so? Explain in some detail. ...

1) Explain why it easier to pull the roller than to push it with the help of a diagram. 2)A horse cannot pull an empty cart in space. Why is it so? Explain in some detail. ...

I have two questions of friction : 1)Why is the coefficient of friction never equal to 1 or 0,but always between 0 and 1? What will happen if the coefficient of friction is EXACTLY 0 or 1? Please explain in some detail. 2)Pol ...

The velocity-time graph of a body is shown in figure. The displacement covered by the body in 8 seconds is *Image* a) 10 m b) 9 m c) 24 m d) 30 m ...

A river flows downstream with a speed of 8 km/h and the velocity of the swimmer with respect to the water is 6 km/h. Find out the minimum time taken to reach the other side of the bank.What is the displacement of the man down ...

Show that the velocity is perpendicular to the displacement, if r = A Cos ωt (i^) + A Sin ωt (j^) ...

One of the rectangular components of a vector of magnitude 100 units is 50 units. Find the other component. ...

Assuming the mass 'm' of the largest stone that can be moved by a flowing river depends upon the velocity 'v' of water,density 'd' of water and acceleration due to gravity 'g'. Show that 'm' varies as the sixth power of the v ...

A man is standing on a frictionless surface and there is no air resistance. If he wants to move, which of Newton's laws would he be using? 1) cant say 2) 1st law 3) 2nd law 4) 3rd law ...

A block of mass m is attached to one end of a long elastic rope. The other end of the elastic rope is fixed to the roof of a building. Initially the block is in contact with the roof at the point where the rope is fixed and i ...

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A stone is projected with a velocity u such that it reaches height h. Find the ratio of its kinetic energy and potential energy when it is at a height 3h/4 from the ground. (potential energy is zero at the point of projection ...

A particle located at x=o at time t=0 starts moving along the positive X-direction with a velocity v that varies with time is? explain ...

Find the acceleration of the block M. Given that the coefficient of friction between the blocks M and m is u1 and the coefficient of friction between the block M and the floor is u2. Clearly show your calculations. *Image* ...

Three identical spheres of mass 1 kg are placed touching each other with their centers on a straight line. Their centers are marked K,L and M respectively. What is the distance of the center of mass of the system from K? ...

Two point masses m and M are separated by a distance L. What is the distance of the center of mass of the system from m? ...

A particle moves along a circle of radius (20/Ï€)m with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun,what is the tangential acceleratio ...

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum,calculate the radial force acting on the particle. ...