A uniform rod of mass `m` and length `l` is applied pivoted at point `O`. The rod is initially in

A thin uniform rod of length l and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) What is the angular velocity of the rod at the moment it reaches the vertical position ?

A thin uniform rod of length l and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) The minimum impulse J required to bring it to rest :

A thin uniform rod of length l and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) If rod is stopped by applying minimum impulse than what is impulse imparted by pivot

A thin uniform rod of length l and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) The distance from the pivot at which impulse, must be applied, if there is to be no horizontal force at the pivot

A uniform slender rod of mass M and length L is pivoted at its end. The rod is released from its nearly vertical position. What is the reaction at the pivot when the rod reaches the horizontal position? If the support is withdrawn at this instant, describe the subsequent motion of the rod.

A thin uniform vertical rod of mass m and length l pivoted at point O is shown is Fig. The combined stiffness of the springs is equal to k . The mass of the spring is negligible. Te frequency of small oscillation is .

A uniform rod of mass M and length l is hinged at point O and is free to rotate on a horizontal smooth surface. Point O is at a distance of (l)/(4) from one end of the rod. A sharp impulse P_(0) = 2 sqrt(130) kg m//s is applied along the surface at one end of the rod as shown in figure [tan theta = (9)/(7)] (a) Find the angular speed of the rod immediately after the hit (b) Find the impulse on the rod due to the hinge.

A thin uniform vertical rod of mass m and length l pivoted at point O is shown in Fig. The combined stiffness of the springs is equal to k . The mass of the springs is negligible. The angular frequency of small oscillation is

A slender uniform rod of mass M and length l is pivoted at one ens so that it can rotate in a vertical plane, Fig. There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle theta with the vertical is

Show that the centre of mass of uniform rod of mass M and length L lies at the middle point of the rod.