A 3-kg block is hanging in equilibrium from a coil spring of diameter 5 cm made from a steel rod of diameter 5 mm. The shear modulus of the spring's material is G = 80 × 10° N/m and the spring has 25 active coils. A weight W is dropped from 20 cm onto the block. On impact the weight attaches itself to the block. What is the largest weight that can be dropped such that the spring's elastic shear strength of 100 x 106 N/m² is not exceeded?
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- The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.4. A uniform ladder 10m long and weighing 350N rests against a smooth wall at an angle of 30° with the wall. A 700N man stand 6m up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping. Draw the FBD
- 4. A uniform ladder 10m long and weighing 350N rests against a smooth wall at an angle of 30° with the wall. A 700N man stand 6m up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.A sheep with a mass (m) 50 kg is hung on an animal scale system which consist of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m. During the hanging operation, the spring and the sheep are displaced vertically by 20 mm below the equilibrium position. 1.1. Draw a free body diagram and proof that a total length (L) of the scale system 2mg can be expressed as: L = k + Lo, where as Lo is the unstretched length of the spring. 1.2. Calculate the frequency of natural vibration of the system. 1.3. Calculate the velocity and acceleration of the sheep when it is 10 mm below the rest position.Course Home Syllabus Scores eText Study Area Document Sharing User Settings Course Tools > Problem 3.46 Each spring has an unstretched length of 2 m and a stiffness of k = 330 N/m .(Figure 1) Figure 4 m Во 12 m 6 m 1 of 1 Part A SOA = Determine the stretch in OA spring required to hold the 22-kg crate in the equilibrium position shown. Submit Express your answer to two significant figures and include the appropriate units. Part B 0 .06 P Pearson μA X Incorrect; Try Again m Previous Answers Request Answer
- A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping. please use the end at the top as the reference point.A uniform ladder 10m long and weighing 350N rests against a smooth wall at an angle of 30° with the wall. A 700N man stand 6m up from the bottom of the ladder. Find the horizontal force necessary to keep the ladder from slipping.A uniform horizontal strut weighs 370.0 N. One end of the strut is attached to a hinged support at the wall, and the other end of the strut is attached to a sign that weighs 170.0 N. The strut is also supported by a cable attached between the end of the strut and the wall. Assume that the entire weight of the sign is attached at the very end of the strut. 30° Restaurant Find the tension in the cable (in N). Find the force (in N) at the hinge of the strut. (Give the direction in degrees counterclockwise from the +x-axis. Assume that the +x-axis is to the right.) magnitude direction °counterclockwise from the +x-axis
- A straight pole of length l = 7 ft and weight W = 25 lbf leans against the corner of a wall of height h = 5 ft as shown. A rope at the bottom prevents the pole from sliding. All surfaces are smooth (no friction). Determine the force F in the rope that produces static equilibrium.In a Proell governor, each ball weighs 2.5 kg; length of each of the main four arms in 20cms, the extended arm is 8 cm long. The pin joints of the main arm are 4 cm from the axis of the governor. For the sleeve to be on its bottom stop the distance between the top and bottom hinge points of the main arms is 30 cm and then the extended arm is vertical. Find the weight of central load when the sleeve just leaves the bottom stop at 150 rpm. What will be the speed of the governor after the sleeve has been raised to 4 cm?In a Proell governor, each ball weighs 2.5 kg; length of each of the main four arms in 20cms, the extended arm is 8 cm long. The pin joints of the main arm are 4 cm from the axis of the governor. For the sleeve to be on its bottom stop the distance between the top and bottom hinge points of the main arms is 30 cm and then the extended arm is vertical. Find the weight of central load when the sleeve just leaves the bottom stop at 150 rpm. What will be the speed of the governor after the sleeve has been raised to 4 cm? (b) What is meant by the term, stability of a governor? Derive the necessary conditions of stability for a centrifugal governor