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A passenger on a large ship sailing in a...

A passenger on a large ship sailing in a quiet sea hangs a ball from the celling of her cabin by means of a long thread. Whenever the ship acceleration when the pendulum stands at an angle of `5^(@)` to the vertical ?

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To solve the problem of finding the acceleration of the ship when the pendulum hangs at an angle of 5 degrees to the vertical, we can follow these steps: ### Step-by-Step Solution 1. **Understanding the Forces**: - When the ship accelerates, the pendulum bob will not hang vertically but will instead make an angle with the vertical. The forces acting on the bob are: - The gravitational force (weight) acting downwards, \( mg \). - The tension in the thread, \( T \), acting along the thread. ...
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A pendulum having a bob of mas m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is T_0 . a. Find the speed of the ship due to rotation of the earth about its axis. b. find the difference between T_0 and the earth's attraction on the bob. c. If the ship sails at speed v, what is the tension in the string ? Angular speed of earth's rotation is omega and radius of the earth is R.

One end of a 10 cm long silk thread is fixed to a large vertical surface of a charged non-conducting plate and the other end is fastened to a small ball of mass 10 g and charge of 4 xx 10^(-6) C . In equilibrium, thread makes an angle of 60^(o) with the vertical. (a) Find the tension in the string in equilibrium. (b) Suppose the ball is slightly pushed aside and released. Find the time period of the small oscillations. (Use sigma=7.5xx10^(-7) C/m^2 )

A circus wishes to develop a new clown act. Fig. (1) shows a diagram of the proposed setup. A clown will be shot out of a cannot with velocity v_(0) at a trajectory that makes an angle theta=45^(@) with the ground. At this angile, the clown will travell a maximum horizontal distance. The cannot will accelerate the clown by applying a constant force of 10, 000N over a very short time of 0.24s . The height above the ground at which the clown begins his trajectory is 10m . A large hoop is to be suspended from the celling by a massless cable at just the right place so that the clown will be able to dive through it when he reaches a maximum height above the ground. After passing through the hoop he will then continue on his trajectory until arriving at the safety net. Fig (2) shows a graph of the vertical component of the clown's velocity as a function of time between the cannon and the hoop. Since the velocity depends on the mass of the particular clown performing the act, the graph shows data for serveral different masses. If the angle the cannot makes with the horiaontal is increased from 45^(@) , the hoop will have to be

A circus wishes to develop a new clown act. Fig. (1) shows a diagram of the proposed setup. A clown will be shot out of a cannot with velocity v_(0) at a trajectory that makes an angle theta=45^(@) with the ground. At this angile, the clown will travell a maximum horizontal distance. The cannot will accelerate the clown by applying a constant force of 10, 000N over a very short time of 0.24s . The height above the ground at which the clown begins his trajectory is 10m . A large hoop is to be suspended from the celling by a massless cable at just the right place so that the clown will be able to dive through it when he reaches a maximum height above the ground. After passing through the hoop he will then continue on his trajectory until arriving at the safety net. Fig (2) shows a graph of the vertical component of the clown's velocity as a function of time between the cannon and the hoop. Since the velocity depends on the mass of the particular clown performing the act, the graph shows data for serveral different masses. From figure 2, approximately how much time will it take for clown with a mass of 60 kg to reach the safety net located 10 m below the height of the cannot?

A circus wishes to develop a new clown act. Fig. (1) shows a diagram of the proposed setup. A clown will be shot out of a cannot with velocity v_(0) at a trajectory that makes an angle theta=45^(@) with the ground. At this angile, the clown will travell a maximum horizontal distance. The cannot will accelerate the clown by applying a constant force of 10, 000N over a very short time of 0.24s . The height above the ground at which the clown begins his trajectory is 10m . A large hoop is to be suspended from the celling by a massless cable at just the right place so that the clown will be able to dive through it when he reaches a maximum height above the ground. After passing through the hoop he will then continue on his trajectory until arriving at the safety net. Fig (2) shows a graph of the vertical component of the clown's velocity as a function of time between the cannon and the hoop. Since the velocity depends on the mass of the particular clown performing the act, the graph shows data for serveral different masses. If the mass of a clown doubles, his initial kinetic energy, mv_(0)^(2)//2 , will :-

A circus wishes to develop a new clown act. Fig. (1) shows a diagram of the proposed setup. A clown will be shot out of a cannot with velocity v_(0) at a trajectory that makes an angle theta=45^(@) with the ground. At this angile, the clown will travell a maximum horizontal distance. The cannot will accelerate the clown by applying a constant force of 10, 000N over a very short time of 0.24s . The height above the ground at which the clown begins his trajectory is 10m . A large hoop is to be suspended from the celling by a massless cable at just the right place so that the clown will be able to dive through it when he reaches a maximum height above the ground. After passing through the hoop he will then continue on his trajectory until arriving at the safety net. Fig (2) shows a graph of the vertical component of the clown's velocity as a function of time between the cannon and the hoop. Since the velocity depends on the mass of the particular clown performing the act, the graph shows data for serveral different masses. If a clown holds on to hoop instead of passing through it, what is the position of the cable so that he doesn't hit his head on the ceiling as he swings upward?

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A ballistic pendulum is a device that was used to measure the speeds of bullets before the development of electronic tiring, devices. The device consists of a large block of wood of mass M , hanging from two long cords. A bullet of mass m is fired into the block. the bullet comes quickly into rest and the block + bullet rises to a vertical distance h before the pendulum comes momentarily to rest as the ends of the arc. ltbr. In the process. the linear momentum is conserved. In such a collision. some kinetic energy is dissipated as heat: so mechanical energy is not conserved. When there is a loss in mechanical energy, the collision is said to be inelastic. Further when two bodies coalesce, the collision is said to be perfectly inelastic. The energy dissipated as heat in the collision is

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ALLEN-NEWTONS LAWS OF MOTION-EXERCISE-III
  1. A passenger on a large ship sailing in a quiet sea hangs a ball from t...

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  2. Assertion: The driver in a vechicle moving with a constant speed on a ...

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  3. Assertion: Frictional forces are conservative forces. Reason: Potent...

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  4. Assertion: A man in a dosed cabin falling freely does not experience g...

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  5. Assertion Angle of repose is equal to angle of limiting friction . R...

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  6. Assertion: On a rainy day, it is difficult to drive a car or bus at h...

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  7. Assertion: Force of friction depends on the actual area of contact. ...

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  8. Assertion: Static frictional force is a self adjusting force. Reason...

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  9. Assertion : A body can be at rest even when it is under the action of ...

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  10. Assertion: Frictional force is the component of contact force parallel...

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  11. Assertion: Newton's first law can be derived from the second law. Re...

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  12. These questions consists of two statements each printed as Assertion a...

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  13. Assertion: Pseudo force is an imaginary force which is recongnised on...

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  14. Assertion: A table cloth can be pulled from a table without dislodding...

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  15. Assertion: Friction is a self-adjusting force. Reason: A block on th...

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  16. Assertion : The apparent weight of a body in an clevator moving downwa...

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  17. Assertion: A body of weight 10N (W) is at rest on an inclined plane (m...

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  18. Assertion: When a force vecF attempts to slide a body along a surface,...

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  19. Assertion: Mass is a property of one object alone, whereas weight resu...

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  20. Assertion: When brakes are applied on a wet road, a car is likely to s...

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  21. Assertion : The force of tension on a body always act away from the bo...

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