Recently Active Mechanics Questions

*Image* Question. A small spherical ball is released from a point at a height h on a rough tck as shown in the figure. Assume that it does not slips anywhere , find its linear speed when it rolls on the horizontal part of the ...

Q. A spherical ball of mass m and radius r rolls without slipping on a rough concave surface of large radius R. It makes small oscillations about the lowest point. Find the time period. Answer:- 2π √ 7(R-r)/5g please show ...

1)A Uniform cylinder of mass m & length L is released from rest , with its lower end touching a frictionless horizontal floor.At the initial moment , the rod is inclined at 300 with the vertical.Find the value of normal react ...

Show that if a rod held at an angle θ to the horizontal & released , its lower end will not slip if the friction coefficient between rod & ground is greater than (3 sinθcosθ )/(1+3sin2θ) ...

Question., A uniform solid cylinder of radius R=15cm rolls over a horizontal plane passing into an inclined plane forming an angle α=30 deg with the horizontal downwards. Find the max. value of the velocity vo which still pe ...

A diwali cracker known as sudarshan chakra works on the principle of thrust. Consider such a toy the centre of which is hinged. The initial mass of the toy is M0 and radius is R. The toy is in the shape of a spiral the turns ...

A man with some passengers in his boat,starts perpendicular to flow of river 200m wide and flowing with 2m/s.Boat speed in still water is 4m/s.When he reaches half the width of the river the passangers asked him they want to ...

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A ball is projected on smooth inclined plane in direction perpendicular to line of greatest slope with velocity of 8m/s.Find it's speed after 1 sec. *Image* ...

Three particles A, B, C of mass m each are joined to each other by massless rigid rods to from an equlateral traingle of side a. Another particle of mass m hits B with a velocity v0 directed along BC. The colliding particle s ...

A balloon is ascending vertically with an acc of 0.2m/s2.Two stones are dropped from it at an interval of 2 sec.Find the distance between them 1.5 sec after the second stone is released(g=9.8) ...

Fig shows the v-t graph of particle moving in straight line.Find the time when particle returns to the starting point *Image* ...

A charged particle x moves towards another charged particle y . For the system of x and y , the total momentum is p and the total energy is E . Then : (a) p and E are conserved if both x and y are free to move (b) p and E are ...

the bob of a stationary pendulum is given a sharp hit to impart it a horizontal speed of 3gl . find the angle rotated by the string before it becomes slack? ans:cos-1 1/3 ...

*Image* A uniform chain of length l and mass m is hanging vertically from its ends A and B which are close together . At a given instant the end B is released. What is the tension at A when B has fallen a distance x [x<l] ...

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a small heavy block is attached to the lower end of a light rod of length l which can be rotated about its clamped upper end.what minimum horizontal velocity should be given so that it moves in a complete circle? ...

solid cube half immersed in water has time period of small vertical oscillation equal to p/5 s(p means pie).find mass of body.. ...

A small block of mass m is kept on a rough inclined surface of inclination "theta" fixed in an elevator.the elevator slide on the wedge. The work done by friction on the block in time t is: Ans: mgvtsin^2[ theta] reply soon!! ...

*Image* consider the point P at a distance R/2 from centre. When we write angular momentum on the point, the expression is: Iω+mvcm(r/2) so when we substitute ω, do we make it equal to vcm/R or vcm/2R v/2R is considering th ...

A perfectly elastic ball is thrown from the foot of a plane inclined at an angle θ to the horizon . If after striking the plane at a distance ' l ' from the point of projection it rebounds and retraces its former path , find ...

TWO THIN LIGHT RODS AB(mass M,lenmgth L)AND CD(mass 2M,length 2L)ARE CONNECTED TO MAKE A T AS SHOWN IN FIGURE.THE ASSEMBLY IS KEPT VERTICAL ON A FRICTIONLESS HORIZONTAL SURFACE AND IS RESTRAINED TO FALL SIDEWISE .WHAT IS THE ...

Statement 1 : Frictional forces are conservative forces. Statement 2 : Potential energy cannot be associated with fricionless forces. I'm not much sure with my ans........ ...

Consider a planet whose mass and radius is half of the earth,and the surface temperature is abt 800K,Can we predict whether oxygen is in the planet's atmosphere ...

*Image* The acceleration a of the supporting surface required to keep the centre G of the circular cylinder in a fixed position during the motion if there is no slipping between the cylinder and the support will be :_________ ...

Suppose we have a rotating horizontal disc . A man stands at the edge of the disc. We say that the net moment of inertia of the system is MR2/2 + mR2 where M is the mass of the disc and m is of the man. Then my statement is T ...

A block of mass M travelling at velocity v m/s strikes on a spring of mass m on a horizontal table. Find the maximum compression. ...

*Image* Loads of 2kg and 10 kg are hanging from an ideal thread over a smooth pulley. The system is in equilibrium...when a monkey weighing 8kg starts climbing up from the given position at time t=0 with an acceleration 2m/s2 ...

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Suppose a hollow sphere is taken. The Sphere is now filled with a non-viscous fluid. What is the change in the Rotational Kinetic Energy ?? ...