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A constant force F=m2g/2 is applied on the block of mass m1 as shown in figure (5-E10). The string and the pulley are light and and the surface of the table is smooth. Find the acceleration of m1.

Consider the situation shown in the figure (5-E9). All the surfaces are friction-less and the string and the pulley are light. Find the magnitude of the acceleration of the two blocks.

Figure (5-E8) shows a uniform rod of length 30 cm having a mass of 3.0 kg. The strings shown in the figure are pulled by constant forces of 20 N and 32 N. Find the force exerted by the 20 cm part of the rod on the 10 cm part. All the surfaces are smooth and the strings and the pulleys are light.

Consider the Atwood machine of the previous problem. The larger mass is stopped for a moment 2.0 s after the system is set into motion. Find the time elapsed before the string is tight again.  

In a simple Atwood machine, two unequal masses m 1   and m 2   are connected by a string going over a clamped light smooth pulley. In a typical arrangement (figure 5-E7)  m 1  = 300g and m 2  =600g. The system is released from rest. (a) Find the distance travelled by the first block in the first two seconds. (b) Find the the tension in the string. (c) Find the force exerted by the clamp on the pulley.     

A force F=vxA is exerted on a particle in addition to the force of gravity, where v is the velocity of the particle and A is a constant vector in the horizontal direction. With what minimum speed a particle of mass m be projected so that it continues to move undeflected with a constant velocity ?

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An empty plastic box of mass m is found to accelerate up at the rate of g/6 when placed deep inside water. How much sand should be put inside the box so that it may accelerate down at the rate of g/6?    

The force of buoyancy exerted by the atmosphere on a balloon is B in the upward direction and remains constant. The force of air resistance on the balloon acts opposite to the direction of the velocity and is proportional to it. The balloon carries a mass M and is found to fall down near the earth,s surface with a constant velocity v. How much mass should be removed from the balloon so that it may rise with a constant velocity v ?    

Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of 2.0 m/s². Find the elongations.    

A block of 2 kg is suspended from the ceiling through a mass-less spring of spring constant k=100 N/m. What is the elongation of the spring ? If another 1 kg is added to the block, what would be the further elongation ?      

Find the reading of the spring balance shown in figure (5-E6). The elevator is going up with an acceleration of g/10, the pulley and the string are light and the pulley is smooth. 

A person is standing on a weighing machine placed on the floor of an elevator. The elevator starts going up with some acceleration, moves with uniform velocity for a while and finally decelerates to stop. The maximum and minimum weights recorded are 72 kg and 60 kg. Assuming that the magnitude of acceleration and deceleration are the same, find (a) true weight of the person and (b) the magnitude of the acceleration. Take g=9.9 m/s².     

  A pendulum bob of mass 50 g is suspended from the ceiling of an elevator. Find the tension in the string if the elevator (a)   goes up with acceleration 1.2 m/s², (b)   goes up with deceleration 1.2 m/s², (c)  goes up with  uniform velocity, (d)   goes down with acceleration 1.2 m/s², (e)  goes down with deceleration 1.2 m/s² and (f) goes down with uniform velocity.    

The elevator shown in figure (5-E5) is descending with an acceleration of 2 m/s². The mass of the block A is 0.5 kg. What force is exerted by the block A on the block B?  

A man has fallen into a ditch of width d and two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in the figure. Show that the force (assumed equal for both friends) exerted by each friend on the road increases as the man moves up. Find the force when the man is at a depth h

ssc gd 2018 practice question questions

 Ncert Class 9 Maths Chapter 1 exercise 1.1 solution                                                                                                                                                             ...

ssc cgd 2018 most important question

A particle of mass 0.3 kg is subjected to a force F = - kx with k = 15 N/m. What will be the initial acceleration if it is released from a  point x = 20cm?

Raindrops of radius 1 mm and mass 4 mg are falling with a speed 30 m/s on the head of a bald person. The drops splash on the head of  the person and come to rest. Assuming equivalently that the drops cover a distance equal to their radii on the head, estimate the force exerted by each drop on the head

wo blocks of mass  ma and mb respectively are kept in contact on a frictionless table. The experimenter pushes the block a from behind so that the blocks accelerate . If the block A exerts a force F on the block B, what is the force exerted by the experimenter on block A ?

A particle of mass 50 g moves on a straight line. The variation of  speed with time is shown in figure. Find the force acting on the  particle at t =2, 4 and 6 seconds

Two blocks of equal mass m are tied to each other through a light string. One of the blocks is pulled along the line joining them with a constant force F. Find the tension in the string joining the two blocks.

A block of mass 0.2 kg is suspended from the ceiling by a light string.A second block of mass 0.3 kg is suspended from the first block through another string. Find the tensions in the two strings.

In a TV picture tube electrons are ejected from the cathode with negligible speed and reach a velocity of 〖5∗10〗^6m/s in travelling  1cm. Assuming straight line motion, find the constant force exerted on the electron. The mass of electron is 〖9.1∗10〗^(−31)Kg.

A car moving at 40 km/h is to be stopped by applying brakes in the next 4.0 m. If the car weighs 2000 kg, what average force must be applied on it?

A block of mass 2 kg placed on a long frictionless horizontal table is  pulled horizontally by a constant force F. It is found to move 10 m in first two seconds. Find the magnitude of F.

Watch the video for full solution: Subscribe to our channel :   vitorr classes 1) 72, 193, 362, 587, 876, ? a)991 b) 981 c) 1237 d) 1273 2) बैटरी में भरा होता है लगभग a) 40% सुल्फुरिक अल्म व 60% जल b) 50% सुल्फुरिक अल्म व 50% जल c) 60% सुल्फुरिक अल्म व 40% जल d) 70% सुल्फुरिक अल्म व 50% जल 3) २३ दिसम्बर, 2017 को पारम्भ ‘ग्राम  गंगा परियोजना’ निमन में से किस योजना का एक भाग है ? a) निर्मल गंगा b) नमामि गंगा c) सवच्छ भारत मिशन d) उपरोक्त में से कोई नही 4) )  एक माईक्रोन किसके बराबर होता है? a) 100 मिमी b) 0.01 मिमी c) 1000 मिमी d) 0.001 मिमी 5) किसी निकाय द्वारा कार्य करने की देर कहलाती है a) उर्जा b) बल c) शक्ति d) संवेग 6) ‘शादी शगुन योजना’ किस मंत्रालय द्वारा संचालित किया जा रहा है? a) संस्कृति b) गृह c) अल्प्संखयक d) खेल 7) )  एक बस पुरुषो तथा उनकी आधी संख्या के बराबर महिलाओ को लेकर देल्ही से चलती है | मेरठ पहुचने पर दस पुरुष उत्तर जाते है| अब बस में पुरुषो तथा महिलाओ की संख्या बराबर है| परारम्भ मे...