Q- (a) Draw the free-body diagram of the link at B.

(b) If the spring has a stiffness of k=800 N/m and an unstretched length of 100 mm, determine the tension in cables *BC *and *BD *when the spring is held in the position shown.

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Q- The force verses displacement graph for a variable force acting on a particle during some displacement is given bellow (the thick lines)

(a) Calculate the total work done by this force on the particle.

(b) Which well-known physical device could produce the type of force during the first 10 seco…

Q- A box of mass M placed on a table is connected to a hanging mass m by a string passing over a frictionless pulley as in the figure. If the box has mass of 1 kg, the coefficient of friction between the box and table surface is 0.3 and the box slides on the table at constant speed, what is the weig…

Q- A truck was traveling north when, at intersection, collided with a car traveling east. The two vehicles remained joined together after the collision. The skid marks leading from the intersection 20 m at an angle of 30^{o} north of east before stopping. The truck weighed 1200 kg and the car weighed …

(a) What is the impulse needed to stop a 20 kg bowling ball moving at 5 m/s?

(b) A 2000 kg car accidentally drops from a crane and crashes at 30 m/s to the ground below and comes to an abrupt halt. What is the momentum at impact?

(c) A railroad diesel engine weighs two times as much as a freight c…

Q- A man claims that as long as he has his seat belt on, he can hold on to a 12.0 kg child in a 60.0 mi/h head on collision with a brick wall in which the car passenger compartment comes to a stop in 0.050 s. Is his claim true? Explain why he will experience a violent force during the collision, tea…

Q- A block slides 6 feet down the incline of an escalator and then it slides for 2 feet along the level portion until if flies off. If the level portion of the escalator is 3 feet above the floor, determine how far from the base of the escalator the block will strike the floor. Assume that the coeff…

Q- Three astronauts, propelled by jet backpacks, push and guide a 195 kg asteroid toward a processing dock. One astronaut exerts a force of 30 N, 30^{0} from positive x-axis towards positive y direction, second exerts a force of 55 N along the x-axis and third astronaut exerts a force of 41 N, 60^{0} from…

Q- An aluminum block is pushed to the right with and initial speed of v_{1}=10 ft/s at the same time a copper block is pushed to the left with an initial speed of v_{2}=16 ft/s. both blocks slide along a horizontal steel floor toward each other. if the blocks were initially d = 10 ft. apart determine how …

Q- (a) What is the impulse needed to stop a 20 kg bowling ball moving at 5 m/s?

(b) A 2000 kg car accidentally drops from a crane and crashes at 30 m/s to the ground below and comes to an abrupt halt. What is the momentum at impact?

(c) A railroad diesel engine weighs two times as much as a freig…

Q- a small body of mass m_{0} is projected vertically upwards in a cloud. Its initial speed is √(2gk). During its motion the body picks up moisture from the stationary cloud. Its mass at height x above the point of projection is m_{0}(1+ ρx),where ρ is a +ve constant. Show that the greatest height h sa…

Q- Two blocks of mass m_{1} = 12.0 kg and m_{2} = 18.0 kg connected by a rope of negligible mass are being dragged by a horizontal force F=68.0 N acting on m_{2}. The coefficient of kinetic friction between each block and the surface is 0.100 Determine magnitude of acceleration in the blocks and the tension…

Q- An object of mass 5.00 kg, attached to a spring scale, rests on a frictionless, horizontal surface. The spring scale attached to the rear of a boxcar, has constant reading of 18.0 N when the car is in motion.

(a) Determine the acceleration of the car.

(b) What constant reading will the sprin…

Q- A car is traveling at 50.0 mi/hr on a horizontal highway.

(a) If the coefficient of static friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop?

(b)What is the stopping distance when the surface is dry and the coefficient of friction is …

Q- Consider an object on which the net force is a resistive force proportional to the square of its velocity as F = -kmv^{2}, where k is a constant and m is mass of the object. At t = 0 the speed of the object is Vo. Find an expression for the speed of the object at subsequent time t.

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Abhigyan Martin NinamaRohit DewalAjay kumar