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a)Consider a simple pendulum of mass m mounted inside a railroad car that is accelerating
to the right with constant acceleration a. Analyse this problem in the non inertial frame
of reference to find the angle φ with the vertical direction at which the pendulum will
remain at rest relative to the moving car.
b) On Jupiter a day lasts for 9.9 earth hours and the circumference at the equator is
448600 km. If the measured value of gravitational acceleration at the equator is 24 6. ms ,−2
what is the true gravitational acceleration and the centrifugal acceleration.
A foot ball punter wants to kick the ball so that it hits the ground 50 m from where it is kicked and so that the ball is in the air 4 seconds. at what angle and with what initial speed should the ball be kicked? assume that the ball leaves the kicker's foot from an elevation of 1 meter
Object A travels in the +x-direction before hitting a stationary object B. Afterwards, object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second. What is the object’s resultant angle of motion with the +x-axis after the collision?
the predominant mode of heat transfer in solids is
a circular disc rotates on a thin air film with a period of 0.3second. its moment of inertia about its axis of rotation is 0.06kg/m*2.a small mass is dropped onto the disc and rotates with it. the moment of inertia of the mass about axis of rotation is 0.04kg/m*2.determine final period of rotating disc and mass?
can we move a merry go round by applying a force along the radial direction? explain in detail
suppose you are designing a cart for carrying goods downhill. to maximize cart speed should you design wheels so that their moment of inertia about their rotation axes are large or small or it does not matter?explain in detail assuming that mechanical energy is conserved.
in simple harmonic motion of simple pendulum restoring force is provided by
a: inertia b: force of gravity c: tension in the string d: air resistance
Plot temperature variation of heat capacity for first order and second order phase transitions.
Compute the fermi energy and the corresponding fermi temperature of aluminium (trivalent metal) using the following data: Mal=0.2698kg and ro=2670kgm-3