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two identical blocks each of mass m are connected by a light inextensible string and can move on the surface of a rough
a body of mass m is suspended from a fixed point o by an inextensible uniform rope of mass m and length b find the
two uniform lead spheres each have mass 5000 kg and radius 47 cmthey are released from rest with their centres 1 m
the block in given figure is sliding down the inclined surface of a fixed wedge this time the frictional force f
a stuntwoman is to be fired from a cannon and projected a distance of 40 m over level ground what is the least
1 in an air show a pilot is to execute a circular loop at the speed of sound 340 m s-1 the pilot may black out if his
cathode ray tube a particle of mass m and charge e is moving along the x-axis with speed u when it passes between two
an object is dropped from the top of a building and is in view for time tau while passing a window of height h some
a particle p of mass m moves under the gravitational attraction of a mass m fixed at the origin oinitially p is at a
an aircraft takes off from a horizontal runway with constant speed u climbing at a constant angle alpha to the
an aircraft is to fly from a point a to an airfield b 600 km due north of aif a steady wind of 90 kmh is blowing from
lames equations acute the directions in which x-rays are strongly scattered by a crystal are determined from the
1 the vector v is a function of the time t and k is a constant vector find the time derivatives of i v2 ii v middot k v
1 find the unit tangent vector the unit normal vector and the curvature of the helix x a cos theta y a sin theta z
a particle p moves along the x-axis with its displacement at time t given by x 6t2 - t3 1 where x is measured in
a particle p moves along the x-axis with its acceleration a at time t given bya 6t - 4ms-2initially p is at the point
constant acceleration formulae a particle p moves along the x-axis with constant acceleration a in the positive
the trajectory of a charged particle moving in a magnetic field is given byr b cos omegat i b sin omegat j ct kwhere
a racing car moves on a circular track of radius b the car starts from rest and its speed increases at a constant rate
a particle p moves on a circle with centre o and radius b at a certain instant the speed of p is v and its acceleration
a bee flies on a trajectory such that its polar coordinates at time t are given byr bttau2 2tau -tnbspnbspnbspnbspnbsp
a pursuit problem daniel and the lion the luckless daniel d is thrown into a circular arena of radius a containing a
general motion with constant speed a particle moves along any path in threedimensional space with constant speed show
a particle p moves so that its position vector r satisfies the differential equationrmiddot c rwhere c is a constant
a large truck with double rear wheels has a brick jammed between two of its tyres which are 4 ft in diameterif the