A solid consist of a cylinder and a hemisphere of equal radius fixed base to base. Find the ratio of the radius to the height of the cylinder. So that the solid has its centre of gravity at the common face. Hint. For stable equilibrium, the centre of the body should be below the common face or maximum lie on it. So take the centre of gravity of the body at a distance (a) from the bottom of the hemisphere Final Answer should be √2 : 1

Q: Assuming a single muscle group (biceps) is responsible for carrying a ball with a weight of 5 kg as…

A:

Q: 5. Consider a uniform hollow cylinder of mass M, radius R and side length L originally in an upright…

A:

Q: Equilibrium: A 10.0-kg uniform ladder that is 2.50 m long is placed against a smooth vertical wall…

A:

Q: our bricks of length L, identical and uniform, are stacked on top of one another (the figure) in…

A: Given:- Four bricks of length L, identical and uniform, are stacked on top of one another (the…

Q: A man holds a 164-N ball in his hand, with the forearm horizontal (see the figure). He can support…

A: No force is acting along the horizontal. Thus, the force by the upper arm bone to the forearm will…

Q: A uniform ladder is tilted against a smooth wall at an angle 60⁰ with the horizontal. The mass of…

A:

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A:

Q: In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of…

A:

Q: A door weighing 310.0 N measures 2.00 m x 3.00 m and is of uniform density; that is, the mass is…

A: The value of P is 7.50.The value of Q is 310.0.The position of forces acting on the door is shown…

Q: A uniform board is leaning against a smooth vertical wall. The board is at an angle θ above the…

A:

Q: sculpture is 4.00 m tall and has its center of gravity located 1.80 m above the center of its base.…

A:

Q: In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of…

A:

Q: An object with a mass of 4.40 kg is placed at the top of a 2.53 m tall (vertical height) incline.…

A: Given: Mass of an object (m) = 4.4 kg. Vertical height (h) = 2.53 m. Angle (θ) = 33.8 Radius of…

Q: In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of…

A: Given that: AA=2.3ABEA=1.8EBLet the weight of the brick is W.

Q: A box of negligible mass rests at the left end of a 2.00 m, 29.0 kg plank (Eigure 1). The width of…

A: The length of the plank is L = 2.00m the mass of the plank is m = 29.0kg The width of the box is w =…

Q: The product of the applied torque and the length determines the relative angle of twist between the…

A:

Q: Problem 5: Suppose a 875-kg car is on the bridge in the figure with its center of mass haltway…

A: Concept: In order to determine the tension and the magnitude of the Force, we will use the free body…

Q: A rod AB weighing 25 kN is supported by a pin at A and a cable BD. The center of gravity of the rod…

A:

Q: I Review I Constants A uniform ladder with mass m2 and length L rests against a smooth wall. (Figure…

A:

Q: A paddle for a boat is constructed of a stick of length L and a parabolic end piece. The end can be…

A: Let us consider a thin strip of width dx at a distance x from the origin. The area of the strip is…

Q: A uniform plate of height 0.970 m is cut in the form of a parabolic section. | y H 1 The lower…

A: Consider the given parabolic equation:y=   Let us consider a small section in parabolic section of…

Q: A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

A:

Q: A uniform ladder of length L and mass m1 rests against a frictionless wall. The ladder makes an…

A: In this problem, Draw free body diagram of this ladder as per given in question.

Q: A man holds a 165-N ball in his hand, with the forearm horizontal (see the figure). He can ypport…

A: Given: Weight of ball, Wb = 165 N Weight of forearm, Wf = 18.5 N distance between elbow joint and…

Q: A 560-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

A: From the hinge distance of sign, D = 6 m - 2 m = 4 m From the hinge distance of rod, d = 3 m Resolve…

Q: A uniform rod AB of weight 500 N and length 4.0 m is supported at two points P and Q as shown below.…

A: Weight of rod, w, AB=500 N Length of the rod, AB= 4 m AP=QB=0.8 m Weight of man, wm=800 N

Q: A 69 kg man's arm, including the hand, can be modeled as a 76-cm - long uniform cylinder with a mass…

A:

Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.