Pendulum in Non Inertial Frame

Q. in a simple pendulum, length increases by 4% and g increases by 2%, then time period of simple pendulum (1)increases by 4% (2)increases by 3% (3)decreases by 3% (4)increases by 1%

Q. A pendulum clock is 5 seconds fast each day at a temperature of 15^0C and10 seconds slow at a temperature of 30^0C.The temperature at which it is designed to give the correct time is?

Q. 8.The acceleration due to gravity is measured on the earth surface by using a simple pendulum. If (a) and (b) are relative errors in measurement of length and time period respectively, then percentage error in measurement of acceleration due to gravity is ?

Q. Answer the following questions : (a) Time period of a particle in SHM depends on the force constant k and mass m of the particle: T = 2π √(m/k) A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum? (b) The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than 2π √( l /g) Think of a qualitative argument to appreciate this result. (c) A man with a wristwatch on his hand falls from the top of a tower. Does the watch give correct time during the free fall ? (d) What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity ?

Q. a glass marble whose mass is 1/10 kg falls from a height of 2.5 m aand rebounds to the height of 1.6m .if time during which they contact be one tenth of a sec , then avg force btw the marble and floor is

Q. if length of a simple pendulum is increased by 69% then the percentage increased in time period i

Q. A simple pendulum of frequency n is taken up to a certain height above the ground and then dropped along with its support so that it falls freely under gravity. The frequency of oscillations of the falling pendulum will

1. Remain equal to n
2. Become greater than n
3. Become less than n
4. Become zero

Q. A force f= 20 N acts on a object and displaces it from rest to speed of 10 m/s in its direction. What is displacement if mass of object is 2Kg

Q.

A block of mass m is pushed against α spring of spring constant k fixed at one end to a wall. The block can slide on α frictionless table as shown in figure. The natural length of the spring is L₀ and it is compressed to half its natural length when the block is released. Find the velocity of the block as α function of its distance x from the wall (for $x>L_0$).

1. 

2. 

3. 

4. 

Q. 37.A block of mass 2kg is dropped from a height of 40cm on a spring whose force constant is 1960N/m. What will be the maximum distance x through which the spring is compressed?

Q.

The period of simple pendulum is measured as T in a stationary lift. If the lift moves upwards with an acceleration of 5 g, the period will be

1. The same

2. Increased by 3/5

3. Decreased by 2/3 times

4. None of the above

Q. { A body of mass }2kg is acted upon by two forces }}{2N and }5N in the direction of }^ i+^ j and }^ j-^ k} respectively. If the body is displaced from }{(3, -2, 1) to }(-1, 2, 3) (Positions are in }m), then }} work done is

Q.

A block of mass m is attached with a spring of force constant k. The block is kept on a frictionless plank. The other end of the spring is connected with the plank. Mass of the plank is M and it is also kept on a frictionless surface.

Initially, the system is stationary. A sharp impulse P is applied on the block as shown. The maximum compression in the spring will be

1. 

2. 

3. 

4. 

Q. Spring pendulum is on the rotating table . Initial angular velocity of the table is w and tume period is T . Now the angylar velocity of table becomes 2w , the new time period will be ( in terms of T)

Q. What is a simple pendulum ? Show that motion executed by the bob of a pendulum is SHM. Derive an expression for its time period.

Q. the length of a ballistic pendulum is 1 m and mass of its block is 0.98kg. a bullet of mass 20 gram strikes the block along horizontal direction and gets embedded in the block. if block + bullet complete vertical circle of radius 1 m, then the striking velocity of bullet is

Q. The acceleration due to gravity(g) is measured onearths surface by using a simple pendulum. If timeperiod of the pendulum T (4.00 t 0.01) s and lengthof pendulum /then value of g upto correct significant figures, is(use T2 10.0)that5.(4.00t 0.01) m were measured, (1) (9.8 0.2) m/s2of airwhich?(2) (10.0 0.1) m/s2(3) (9.8 t 0.8) m/s2(4) (10.0 0.8) m/s2i he

Q.

The period of oscillation of a simple pendulum varies directly with the square root of the length.

1. True
2. False

Q.

Two identical spring of constant K are connected in series and parallel as shown in figure. A mass m is suspended from them. The ratio of their frequencies of vertical oscillations will be

1. 2:1

2. 1:1

3. 1:2

4. 4:1

Q.

What is the pendulum equation?

Q. Two simple pendulums whose lengths are $100\text{cm}$ and $121\text{cm}$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again.

1. $11$
2. $10$
3. $21$
4. $20$

Q. 20.AN auto driver moving with a speed of 36kmph sees a child standing in the middle of the road . he applies the brake and brings his vehicle to rest in 5sec just in time to save the child . If the total mass of the auto and the driver be 450 kg . calculate the force of the brake.

Q. 67. if the length of pendulum of wall clock is increased by 0.1% then find the error in time per day.

Q. The bob of a simple pendulum has a mass m and it is executing simple harmonic motion of amplitude A and period T. it collides with a body of mass $m_0$ placed at the equilibrium position which sticks to the bob. The time period of the oscillation of the combined masses will be

1. $T$
2. $T\frac{m+m_0}{m-m_0}$
3. $T\frac{m}{m-m_0}$
4. $T\frac{m+m_0}{m}$

Q. two blocks of mass 2kg and 4kg are hanging with help of massless string passding over an ideal pully inside an elevator .The elevator is moving upword with an acceleration g/2 .the yension in the string connected between the blocks will be ? im unable to unders†an d this problem , explain briefly

Q. The ratio of frequencies of oscillation for two simple pendulums are $2:3$, then their respective lengths are in ratio:

1. $\sqrt{\frac{2}{3}}:1$
2. $\sqrt{\frac{3}{2}}:1$
3. $4:9$
4. $9:4$

Q.

Which of the following will change their time period as they are taken to moon?

1. A simple pendulum

2. A physical pendulum

3. A torsional pendulum

4. A spring-mass system

Q. A rod PQ of mass M and length L is hinged at end P . The rod is kept horizontal by a massless string tied to point Q . When string is cut , the initial angular acceleration of the rod is

Q. A body of mass 5kg is raised vertically to a height of 10m by a force 170N the velocity of body at this height will be A.9.8m/s B.15m/s C.22m/s D.37m/s

Q. The masses of 10 kg and 20 kg respectively are connected by massless spring . A force of 200 N acts on the 20kg mass. At the instant shown, the 10kg mass has acceleration of 12 m/s^2.What is the acceleration of 20 kg mass a.14m.s^{-2} b.4m.s^-