A string is wrapped several time on a cylinder of mass `M` and radius `R`, the cylinder is pivoted about its axis of symmetery . A block mass of `m` tied to the string rests on support so that the string is black. The block is lifted upto a height `h` and the support is removed. (shown in figure)

If `M=m`, what friction of `KE` is lost due to the jerk developed in the string

A string is wrapped several time on a cylinder of mass M and radius R , the cylinder is pivoted about its axis of symmetery . A block mass of m tied to the string rests on support so that the string is black. The block is lifted upto a height h and the support is removed. (shown in figure) What is the angular velocity of cylinder just before the string becomes taut

A string is wrapped several time on a cylinder of mass M and radius R , the cylinder is pivoted about its axis of symmetery . A block mass of m tied to the string rests on support so that the string is black. The block is lifted upto a height h and the support is removed. (shown in figure) When the string experience a jerk, a large impulsive force is generated for a short duration, so that contribution of weight mg can be neglected suring this duration. then what will be speed of blocks m , just after string has becomes taut

A string is wrapped several times on a cylinder of mass M and radius R . the cylinder is pivoted about its adxis of block symmetry. A block of mass m tied to the string rest on a support positioned so that the string has no slack. The block is carefully lifted vertically a distance h , and the support is removed as shown figure. a. just before the string becomes taut evalute the angular velocity omega_(0) of the cylinder ,the speed v_(0) of the falling body, m and the kinetic energy K_(0) of the system. b. Evaluate the corresponding quanitities omega_(1), v_(1) and K_(1) for the instant just after the string becomes taut. c. Why is K_(1) less than K_(0) ? Where does the energy go? d. If M=m , what fraction of the kinetic energy is lost when the string becomes taut?

A string is wrapped several times on a cylinder of mass M and radius R . the cylinder is pivoted about its adxis of block symmetry. A block of mass m tied to the string rest on a support positioned so that the string has no slack. The block is carefully lifted vertically a distance h , and the support is removed as shown figure. a. just before the string becomes taut evalute the angular velocity omega_(0) of the cylinder ,the speed v_(0) of the falling body, m and the kinetic energy K_(0) of the system. b. Evaluate the corresponding quanitities omega_(1), v_(1) and K_(1) for the instant just after the string becomes taut. c. Why is K_(1) less than K_(0) ? Where does the energy go? d. If M=m , what fraction of the kinetic energy is lost when the string becomes taut?

A string is wrapped around a cylinder of mass M and radius R . The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder unwinds the string. The tension in the string is

A string is wrapped around a cylinder of mass M and radius R . The string is pulled vertically upwards to prevent the centre of mass from falling as the cylinder unwinds the string. The tension in the string is

A string of negligible mass is wrapped on a cylindrical pulley of mass M and radius R. The other end of string is tied to a bucket of mass m. If the pulley rotates about a horizontal axis then the tension in the string is :