Q4. The 3-kg ball is connected to a spring with spring constant k = 100 N/m and unstretched length of 0.8 m. Initially the spring is compressed and has length 0.6 m. Then under the constant applied force F = 300 N (in the direction shown in the image) acting on the ball, the spring is stretched to a new length 1.3 m. Determine the work done by the spring to the ball during this process. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 1 place after the decimal point, and proper Sl unit.

Draw a free-body diagram for this system.

Problem 2.2-9 The depicted frame is loaded by a distributed load q = 0,5 kN/m and a concentrated force exerted by a rope slung around a frictionless pulley and the mass m = 600 kg fixed to it (gravitational acceleration g≈ 10 m/s²). Determine the support reactions at A, B and C ! 4 m A B 9 ալ 2 m m g

A horizontal board weighing Wb = 600 N is hinged to a vertical wall. A personweighing Wp = 400 N stands at the end of the board 5 m from the wall. A rope is attached to theboard at a point 3 m from the wall and makes an angle of θ = 40° with theboard. Determine the tension (T) in the rope

2-) mA = 10 kg, mB = 5 kg, mC = 5 kg Initially at rest. In 2 secs, Block B displaces 3 meters. Calculate: (a) F (b) Tension in cable AD A B Dynamics F D Dynamics C

In the figure, we must apply a force of magnitude 83.0 N to hold the block stationary at x = -3.00 cm. From that position, we then slowly move the block so that our force does +4.00 J of work on the spring-block system; the block is then again stationary. What are the block's positions? ((a) positive and (b) negative) (a) Number i (b) Number i x=0 F = 0 00000000 x positive F, negative m ! ! (a) (b) ā Units -Block attached to spring x negative Ę, positive cm Units cm x

An inclined plane of angle e = 20.0° has a spring of force constant k = 510 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.61 kg is placed on the plane at a distance d = 0.297 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?

A beam resting on two pivots has a length of L = 6.00 mand mass M = 87.0 kg. The pivot under the left end exerts a normal force n1on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass  = 61.5 kgsteps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip.   (b) Where is the woman when the normal force n1 is the greatest?x =  ________m(c) What is n1 when the beam is about to tip?__________ N(d) Use the force equation of equilibrium to find the value of  __________n2  when the beam is about to tip. __________N(e) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.________x =  m(f) Check the answer to part (e) by computing torques around the first pivot point.________x =  mExcept for possible slight…

Consider a uniform ladder of length 4.3 m and mass 10 kg.  The ladder is falling over, pivoting about the end that is touching the ground.  Someone is pushing on the top end of the ladder with a horizontal force of size 415 N.  At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m.  Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)

V₂ - V₁ = 2 V₂ - V₁ = 1 3 P A modern art sculpture consists of a collar, a spring, and a circular track. The collar has a mass of m = 6 kg and the radius of the track is r = 1 m. If the spring is attached to a point P which is a vertical distance d = 0.3 m away from the perimeter of the circular track (d is measured between point 1 and point P), determine the change in potential energy between state 1 and state 2, and between state 1 and state 3. N The unstretched length of the spring is 0.15 m and the spring constant is k = 85- m UBC Engineering