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a particle of mass m is attached to the highest point of a smooth rigid sphere of radius a by a light inextensible
consider further the piston problem described in given problem use computer assistance to calculate the exact and
four particles each of mass m are situated at the vertices of a regular tetrahedron of side a find the gravitational
eight particles each of mass m are situated at the corners of a cube of side afind the gravitational force exerted on
a uniform rod of mass m and length 2a lies along the interval -a a of the x-axis and a particle of mass m is situated
a uniform rigid disk has mass m and radius a and a uniform rigid rod has mass m and length b the rod is placed along
1 show that the gravitational force exerted on a particle inside a hollow symmetric sphere is zero2 two uniform rigid
a narrow hole is drilled through the centre of a uniform sphere of mass m and radius a find the gravitational force
a symmetric sphere of radius a and mass m has its centre a distance b b gt a from an infinite plane containing a
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