Physics-
General
Easy
Question
A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes slightly and released the mass executes a simple harmonic motion. The spring constant is 
. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan? (Take g=10 
)
cm
cm
- Any value less than 12.0 cm
cm
cm
cm
cm
The correct answer is: cm
Let the minimum amplitude of SHM is 
.
Restoring force on spring
Restoring force is balanced by weight 
of block. For mass to execute simple harmonic motion of amplitude .
or 
Here, 
m
Hence, minimum amplitude of the motion should be 10 cm, so that the mass gets detached from the pan.
Related Questions to study
Physics-
Two identical springs are connected in series and parallel as shown in the figure. If 
are frequencies of arrangements, what is 
?
Two identical springs are connected in series and parallel as shown in the figure. If are frequencies of arrangements, what is ?
Physics-General
Physics-
Two masses 
are suspended together by a massless spring of constant 
. When the masses are in equilibrium, 
is removed without disturbing the system. The amplitude of oscillations is
Two masses are suspended together by a massless spring of constant . When the masses are in equilibrium, is removed without disturbing the system. The amplitude of oscillations is
Physics-General
Physics-
Two springs, of force constants
, are connected to a mass 
as shown. The frequency of the mass is 
. If both are made four times their original values, the frequency of oscillation becomes
Two springs, of force constants, are connected to a mass as shown. The frequency of the mass is . If both are made four times their original values, the frequency of oscillation becomes
Physics-General
Physics-
Infinite springs with force constants 
respectively are connected in series. The effective force constant of the spring will be
Infinite springs with force constants respectively are connected in series. The effective force constant of the spring will be
Physics-General
Physics-
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is 
. With what acceleration should the lift be accelerated upwards in order to reduce its period to 
? (g is acceleration due to gravity)
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is . With what acceleration should the lift be accelerated upwards in order to reduce its period to ? (g is acceleration due to gravity)
Physics-General
Physics-
A metal rod of length 
and mass is pivoted at one end. A thin disk of mass 
and radius 
is attached at its centre to the free end of the rod. Consider two ways the disc is attached case 
- the disc is not free to rotate about its centre and case 
– the disc is free to rotate about its centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is/are true?
A metal rod of length and mass is pivoted at one end. A thin disk of mass and radius is attached at its centre to the free end of the rod. Consider two ways the disc is attached case - the disc is not free to rotate about its centre and case – the disc is free to rotate about its centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is/are true?
Physics-General
Physics-
A spring (spring constant =) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant?
A spring (spring constant =) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant?
Physics-General
Physics-
A simple pendulum is released from shown. If and 
represent the mass of the bob and Length of the pendulum, the gain kinetic energy
at is
A simple pendulum is released from shown. If and represent the mass of the bob and Length of the pendulum, the gain kinetic energy
at is
Physics-General
Physics-
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 cm? (g=9.8 )
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 cm? (g=9.8 )
Physics-General
Physics-
How does time period of a pendulum very with length?
How does time period of a pendulum very with length?
Physics-General
Physics-
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 
. The frequency of its oscillation is
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of . The frequency of its oscillation is
Physics-General
Physics-
The periodic time of a particle doing simple harmonic motion is 4 s. The taken by it to go from its mean position to half the maximum displacement (amplitude)
The periodic time of a particle doing simple harmonic motion is 4 s. The taken by it to go from its mean position to half the maximum displacement (amplitude)
Physics-General
Chemistry-
An electrovalent compound is made up of :
An electrovalent compound is made up of :
Chemistry-General
Chemistry-
What are X, Y and Z?
What are X, Y and Z?
Chemistry-General
Chemistry-
Identify the sequence and components of curde oil after fractional distillation of petroleum
Identify the sequence and components of curde oil after fractional distillation of petroleum
Chemistry-General
