Find the time period of small oscillations of the following systems.(p

1.	Find the time period of small oscillations of the following systems.(p) A metre stick suspended through the 20 cm mark.(q) A ring of mass m and radius r suspended through a point on its periphery.(r) A uniform square plate of edge 'a' suspended through a corner.(s) A uniform disc of mass m and radius r suspended through a point r2 away from the centre.(i)2π√2√2a3g (ii) 1.51 sec (iii) 2π√3r3g (iv)T=2π√2Rg
Answer» Find the time period of small oscillations of the following systems. (p) A metre stick suspended through the 20 cm mark. (q) A ring of mass m and radius r suspended through a point on its periphery. (r) A uniform square plate of edge 'a' suspended through a corner. (s) A uniform disc of mass m and radius r suspended through a point $\frac{r}{2}$ away from the centre. (i) $2 π \sqrt{\frac{2 \sqrt{2} a}{3 g}}$ (ii) 1.51 sec (iii) $2 π \sqrt{\frac{3 r}{3 g}}$ (iv) $T = 2 π \sqrt{\frac{2 R}{g}}$

Find the time period of small oscillations of the following systems.(p) A metre stick suspended through the 20 cm mark.(q) A ring of mass m and radius r suspended through a point on its periphery.(r) A uniform square plate of edge 'a' suspended through a corner.(s) A uniform disc of mass m and radius r suspended through a point r2 away from the centre.(i)2π√2√2a3g (ii) 1.51 sec (iii) 2π√3r3g (iv)T=2π√2Rg

Answer»

Find the time period of small oscillations of the following systems.

(p) A metre stick suspended through the 20 cm mark.

(q) A ring of mass m and radius r suspended through a point on its periphery.

(r) A uniform square plate of edge 'a' suspended through a corner.

(s) A uniform disc of mass m and radius r suspended through a point $\frac{r}{2}$ away from the centre.

(i) $2 π \sqrt{\frac{2 \sqrt{2} a}{3 g}}$ (ii) 1.51 sec (iii) $2 π \sqrt{\frac{3 r}{3 g}}$ (iv) $T = 2 π \sqrt{\frac{2 R}{g}}$

Discussion

No Comment Found

Related InterviewSolutions

The same retarding force is applied to stop a train. The train stops after 80 m. If the speed is doubled, then the distance will be
A block of wood floats in water with 45th of its volume submerged but in another liquid, it floats fully submerged. The density of the unknown liquid is (in kg/m3)
A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in m/s)
A stone is allowed to fall from the top of a tower 80 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 20 m/s along the same line of motion. The two stones will meet after -
A convex lens A of focal length 20 cm and a concave lens B of focal length 5 cm are kept along the same axis with a distace d between them. If a parallel beam of light falling on A leaves B as a parallel beam, then d is equal to (IIT-JEE 1985)
A kid of mass 50 kg stands at the edge of a platform of radius 1 m which can be freely rotated about its axis. The moment of inertia of the platform is 0.02 kg-m2. The system is at rest. The kid throws a ball of mass 2 kg horizontally to his friend (friend standing on the ground) in a direction tangential to the rim with a speed 10 m/s as seen by his friend. The angular velocity with which the platform will start rotating in rad/s is
Two cars of unequal masses use similar tyres. If they are moving at the same initial speed, the minimum stopping distance
The maximum range of a gun on horizontal terrain is 16 km. If g=10 m/s2. What must be the muzzle velocity of the shell
The temperature inside and outside of the refrigerator is 260 K and 315 K respectively. Assuming that the refrigerator cycle is reversible, calculate the heat delivered to the surroundings for every joule of work done.
The electric potential at a point (x, y) in the x - y plane is given by V = - kxy. The field intensity at a distance r from the origin varies as

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment