A ring of mass m=10kg can slide through ...

A ring of mass `m=10kg` can slide through a vertical rod with friction. It is connected with a spring of force constant `k=100Nm^-1`. The relaxed length of spring is `4m`. The ring is displaced `3m` as shown in the figure and released. Find velocity of ring when spring becomes horizontal.

Text Solution

Verified by Experts

`m=10kg`, `k=400Nm^-1`
Natural length of spring `=4m`
Decreasing in PE=increasing in KE
`1/2kxx1+mgh=1/2mv^2`
`1/2xx400xx1^2+10xx10xx3=1/2xx10v^2`
`200+300=5v^2impliesv=10ms^-1`

Topper's Solved these Questions

WORK, POWER & ENERGY
CENGAGE PHYSICS|Exercise Exercise 8.4|16 Videos
WORK, POWER & ENERGY
CENGAGE PHYSICS|Exercise Exercise 8.5|15 Videos
WORK, POWER & ENERGY
CENGAGE PHYSICS|Exercise Exercise 8.2|25 Videos
VECTORS
CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

A ring of mass m can slide over a smooth vertical rod as shown in figure. The ring is connected to a spring of force constant k = 4 mg//R , where 2R is the natural length of the spring . The other end of spring is fixed to the ground at a horizontal distance 2R from base of the rod . If the mass is released at a height 1.5 J then the velocity of the ring as it reaches the ground is

A ring of mass m can slide over a smooth vertical rod. The ring is connected to a spring of force constant K=(4mg)/R where 2R is the natural length of the spring. The other end spring is fixed to the ground at a horizontal distance 2R from the base of the rod. the mass is released at a height of 1.5 R from ground.

One end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in fig. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. [ sin 37^(@) = 3/5]

Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length

Two blocks A and B of masses m and 2m, respectively , are connected by a massless spring of force constant k and are placed on a smooth horizontal plane. The spring is stretched by an amount x and then released . The relative velocity of the blocks when the spring comes to its natural length is

A ball of mass 4kg, moving with a velocity of 10ms^(-1) , collides with a spring of length 8m and force constant 100Nm^(-1) . The length of the compressed spring is x m. The value of x, to the nearest integer, is ...........

A simple pendulum of length L has a bob of mass m. The bob is connected to light horizontal spring of force constant k. The spring is relaxed when the pendulum is vertical (see fig (i)). (a) The bob is pulled slightly and released. Find the time period of small oscillations. Assume that the spring remains horizontal. (b) The spring is replaced with an elastic cord of force constant k. The cord is relaxed when the pendulum is vertical (see fig (ii)). The bob is pulled slightly and released. Find the time period of oscillations.

One end of a light spring of natural length 4m and spring constant 170 N/m is fixed on a rigid wall and the other is fixed to a smooth ring of mass (1)/(2) kg which can slide without friction in a verical rod fixed at a distance 4 m from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal.

A ring of mass m can slide on the vertical smooth rod. Ring is connected by block with string as shown in figure. Pulley is of mass-less and smooth the system is released from reast. Initial tension in string is

A ring of mass m is attached to a horizontal spring of spring constant k and natural length l_0 . The other end of the spring is fixed and the ring can slide on a horizontal rod as shown. Now the ring is shifted to position B and released Find the speed of the ring when the spring attains its natural length.

CENGAGE PHYSICS-WORK, POWER & ENERGY-Exercise 8.3

A rock of mass m is dropped to the ground from a height h. A second ro...
Text Solution
|
Three identical balls are thrown from the top of a building, all with ...
Text Solution
|
A lorry and a car moving with the same kinetic energy are brought to r...
Text Solution
|
In case of a moving body as force of friction is mumg, can we regard m...
Text Solution
|
A particle of mass m=5.00kg is released from point A and it slides on ...
Text Solution
|
Two objects are connected by a light string passing over a light, fric...
Text Solution
|
At time t, the kinetic energy of a particle is 30.0J and the potentia...
Text Solution
|
Under the action of a force, a 2 kg body moves such that its position ...
Text Solution
|
A uniform rod of mass M and length L is held vertically upright on a h...
Text Solution
|
A uniform chain of length l and mass m overhangs a smooth table with i...
Text Solution
|
Figure, a block slides along a track from one level to a higher level ...
Text Solution
|
Two smooth balls of mass m1 and m2 connected by a light inextensible s...
Text Solution
|
In figure, an inextensible string that connects two bodies of mass M a...
Text Solution
|
A block slides down a curved frictionless track and then up an incline...
Text Solution
|
A child's pogo stick(figure) stores energy in a spring with a force co...
Text Solution
|
A block of mass m is released from point (A) in figure. The track is f...
Text Solution
|
In figure, the stiffness of the spring is k and mass of the block is m...
Text Solution
|
A child slides without friction from a height h along a curved water s...
Text Solution
|
A spring-mass system ( m1 + massless spring + m2) fall freely from a h...
Text Solution
|
A ring of mass m=10kg can slide through a vertical rod with friction. ...
Text Solution
|