Where, K, P are representing kinetic energy and potential energy. The system includes spring and mass. Also, at extreme compression of the spring, the Kinetic energy of the mass will be zero. Hence the deflection caused in the first fall will be 3. Frictional force resists the motion of the object upon a surface, however, this resisting force is limited, and once the applied force on the body is more than the resisting force the body will start moving.
As long as the body is at rest, the friction force between the surface and the body will be equal to the force applied on the body. Start Learning. Answer Detailed Solution Below Option 1 : total linear momentum only. Momentum is conserved in all collisions. In elastic collision, kinetic energy is also conserved. In inelastic collision, kinetic energy is not conserved. In perfectly inelastic collision, objects stick together after collision.
Perfectly elastic collision: If law of conservation of momentum and that of kinetic energy hold good during the collision. Inelastic collision: If law of conservation of momentum holds good during collision while that of kinetic energy is not. Get Started for Free Download App. Answer Detailed Solution Below Option 3 : Answer Detailed Solution Below Option 3 : 14 cm. Additional Information C. Answer Detailed Solution Below Option 3 : 45 degree with the ground.
Concept: Projectile motion: When a particle is projected obliquely near the earth's surface, it moves simultaneously in horizontal and vertical directions. Range of projectile: The horizontal range of a projectile is the distance along the horizontal plane it would travel, before reaching the same vertical position as it started from.
Explanation: Truss: A framework composed of members joined at their ends to form a rigid structure. Planar truss: In these types of trusses, members lie in a single plane. The basic element of a planar truss is a triangle i. For a planar truss, as there are three unknown support reactions For a node or joint, there will be three unknown but dependent support reactions.
Concept: Lami's Theorem: It is an equation that relates the magnitude of the three co-planner, concurrent and non-collinear forces that keeps a body in equilibrium.
The ring has higher kinetic energy The disc has higher kinetic energy The ring and the disc have the same kinetic energy Kinetic energies of both the bodies are zero since they are not in linear motion. CONCEPT : Moment of inertia: The moment of inertia of a rigid body about a fixed axis is defined as the sum of the product of the masses of the particles constituting the body and the square of their respective distances from the axis of the rotation.
A body rotating about a fixed axis possesses kinetic energy because its constituent particles are in motion , even though the body as a whole remains in place. Therefore, the kinetic energy depends on the moment of inertia. Therefore, a body having more moments of inertia will have more kinetic energy and vice - versa.
A man walking on the ground Rowing a boat A fielder pulling his hand backward while catching a ball Bouncing of Ball. Answer Detailed Solution Below Option 3 : moves with uniform velocity or is at rest. Explanation: The frame of reference : If we are observing any moving body or anybody at rest with respect to any moving object or from any object at rest then the object is called a frame of reference.
There are two types of frame of reference: Inertial frame of reference: The frame of reference having zero acceleration is called the Inertial frame of reference. This frame of reference will be either at rest or will be moving with a constant velocity. Example- A bus moving with constant velocity. The non-inertial frame of reference: The frame of reference having non-zero acceleration is called a non-inertial frame of reference.
For example : If we are observing an object from a freely falling object then this will be a non-inertial frame of reference because the freely falling body has some acceleration. In detennining stresses in frames by methods of sections, the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more than a two members with unknown forces of the frame b three members with unknown forces of the frame c four members with unknown forces of the frame d three members with known forces of the frame e four members with two known forces.
Ans: b ww The center of gravity of a uniform lamina lies at a the center of heavy portion b the bottom surface c the mid point of its axis w. E d e all of the above none of the above. Center of gravity of a solid cone lies on the axis at the height gin a one-fourth of the total height above base b one-third of the total height above base eer c one-half of the total height above base d three-eighth of the total height above the base ing e none of the above.
Center of percussion is t a the point of C. Ans: b ww w. En Ans: d gin The center of gravity of a triangle lies at the point of eer a concurrence of the medians b intersection of its altitudes ing c intersection of bisector of angles. Ans: a t A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve a catenary b parabola c hyperbola d elliptical ww e circular arc. A trolley wire weighs 1.
The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is kg find the dip in the middle of the span a 2. From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate.
Pick up the incorrect statement from the following : a The C. In the equation of virtual work, following force is neglected ww a reaction of any smooth surface with which the body is in contact b reaction of a rough surface of a body which rolls on it without slipping w. E c reaction at a point or an axis, fixed in space, around which a body is con-strained to turn d all of the above e none of the above.
Ans: d asy En If a suspended body is struck at the center of percussion, then the pressure on die axis passing through the point of suspension will be gin a maximum b minimum eer c zero d infinity ing e same as the force applied. The resultant of the following three couples 20 kg force, 0. The coefficient of friction depends on a area of contact b shape of surfaces c strength of surfaces d nature of surface e all of the above. Ans: d ww w.
The ratio of limiting friction and normal reaction is known as a coefficient of friction ing b angle of friction. Which one of the following statements is not correct a the tangent of the angle of friction is equal to coefficient of friction b the angle of repose is equal to angle of friction c the tangent of the angle of repose is equal to coefficient of friction d the sine of the angle of repose is equal to coefficient to friction e none of the above.
On a ladder resting on smooth ground and leaning against vertical wall, the force of friction will be a towards the wall at its upper end b away from the wall at its upper end c upwards at its upper end d downwards at its upper end e none of the above. On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be a downwards at its upper end b upwards at its upper end ww c perpendicular to the wall at its upper end d zero at its upper end e none of the above.
Frictional force encountered after commencement of motion is called a post friction b limiting friction En c kinematic friction gin d e frictional resistance dynamic friction.
Coefficient of friction is the. Pick up wrong statement about friction force for dry surfaces. Friction force is a proportional to normal load between the surfaces b dependent on the materials of contact surface c proportional to velocity of sliding d independent of the area of contact surfaces e none of the above is wrong statement. E d 6f-4 e 6tt. If rain is falling in the opposite direction of the movement of a pedestrain, he has to hold his umbrella a more inclined when moving b less inclined when moving eer c more inclined when standing d less inclined when standing ing e none of the above.
A projectile is fired at an angle 9 to the vertical. Coulomb friction is the friction between a bodies having relative motion b two dry surfaces c two lubricated surfaces d solids and liquids e electrically charged particles.
Dynamic friction as compared to static friction is a b more same w. E c less asy d may be less of more depending on nature of surfaces and velocity e has no correlation. Ans: c En gin Tangent of angle of friction is equal to a kinetic friction eer b limiting friction c angle of repose ing d coefficient of friction. Kinetic friction is the a tangent of angle between normal reaction and the resultant of normal reaction and the limiting friction b ratio of limiting friction and normal reaction c the friction force acting when the body is just about to move d the friction force acting when the body is in motion e dynamic friction.
A semi-circular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will a remain horizontal ww b slant up towards direction of pull c slant down towards direction of pull d unpredictable e none of the above.
E Ans: c asy En The algebraic sum of moments of the forces forming couple about any point in their plane is a equal to the moment of the couple b constant t c both of above are correct d both of above are wrong e none of the above. If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either a meet in a point b be all parallel c at least two of them must meet d all the above are correct e none of the above.
The maximum frictional force which comes into play when a body just begins to slide over another surface is called a limiting friction b sliding friction w. E c rolling friction d kinematic friction asy e dynamic friction. Ans: a En gin The co-efficient of friction depends upon a nature of surfaces eer b , area of contact c shape of the surfaces ing d ail of the above.
The necessary condition for forces to be in equilibrium is that these should be a coplanar b meet at one point ; c both a and b above d all be equal e something else. Ans: c ww w.
E A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly a 38 m b A flywheel on a motor goes from rest to rpm in 6 sec. The number of revolutions made is nearly equal to ing a Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one a ellipse b hyperbola c parabola d circle e none of the above.
A sample of metal weighs gms in air, gms in water, gms in an unknown fluid. Then which is correct statement about density of metal ww a density of metal can't be determined b metal is twice as dense as water c metal will float in water w.
E d metal is twice as dense as unknown fluid e none of the above. Ans: a asy The C. Ans: d. The M. Which of the following is the example of lever of first order a arm of man b pair of scissors w. E c pair of clinical tongs d all of the above asy e none of the above.
Ans: d En gin A pair of smith's tongs is an example of the lever of a zeioth order eer b first order ing c second order d third order. Ans: c t In actual machines a mechanical advantage is greater than velocity ratio b mechanical advantage is equal to velocity ratio c mechanical advantage is less than velocity ratio d mechanical advantage is unity ww e none of the above.
In ideal machines w. E asy a mechanical advantage is greater than velocity ratio b mechanical advantage is equal to velocity ratio c mechanical advantage is less than velocity ratio d mechanical advantage is unity En e none of the above.
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