The downwards force acting on the mass due to gravity will always be given by the mass of the object by the acceleration due to gravity. As this will not change due to the angle at which you hold it, you will have to exert the same force in both scenarios to hold the mass steady.
To calculate the force needed to tighten the bolt, use the formula: Force = Torque / (Wrench length * sin(angle)) Force = 35 N-m / (0.25 m * sin(60 degrees)) Force = 141.42 N Therefore, you would need to exert a force of approximately 141.42 N to tighten the bolt.
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
The man exerts a force of 245 Newtons to pull the box. This force can be calculated by resolving the force into its horizontal and vertical components. Given that the angle is 30 degrees, the horizontal component of the force can be found using trigonometry.
The work needed to move the shed to a platform 5m above would depend on the distance it needs to be moved horizontally and the method of moving it. The work done in lifting the shed against gravity can be calculated using the formula: work = force x distance x cos(angle), where the force is the weight of the shed (280 N), the distance is the vertical height (5m), and the angle is the angle between the force and the direction of movement (typically 0 degrees for vertical lifting).
When the angle is 90 degrees in a conical pendulum, the period becomes infinite and the speed approaches zero. This is because the vertical component of the tension in the string that provides the restoring force becomes zero at this angle, causing the motion to become unbounded.
To calculate the force needed to tighten the bolt, use the formula: Force = Torque / (Wrench length * sin(angle)) Force = 35 N-m / (0.25 m * sin(60 degrees)) Force = 141.42 N Therefore, you would need to exert a force of approximately 141.42 N to tighten the bolt.
You exert a force of 30 N.
Horizontal component = 14 cos(38) = 11.032 lbs (rounded)Vertical component = 14 sin(38) = 8.619 lbs (rounded)
angle of ( Q ) is the definition of starting strength
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
(Cos30)300 = (0.883) 300 = 264.88 = 265 Nt.
The applied force will depend on the required force, and the angle to the ramp (or the horizontal) at which the force is applied.
The man exerts a force of 245 Newtons to pull the box. This force can be calculated by resolving the force into its horizontal and vertical components. Given that the angle is 30 degrees, the horizontal component of the force can be found using trigonometry.
Work is minimized when the angle between the force applied and the direction of motion is 90 degrees (or π/2 radians). At this angle, the force does not contribute to the displacement in the direction of the force, resulting in zero work done. In general, as the angle increases from 0 to 90 degrees, the work done decreases, reaching its minimum at 90 degrees.
The vertical component of the force is Fsin45 = 92 x 1/(2^1/2) = 65.2 The horizontal component of the force is FCos45 = 92 x 1/(2^1/2) = 65.2
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The work needed to move the shed to a platform 5m above would depend on the distance it needs to be moved horizontally and the method of moving it. The work done in lifting the shed against gravity can be calculated using the formula: work = force x distance x cos(angle), where the force is the weight of the shed (280 N), the distance is the vertical height (5m), and the angle is the angle between the force and the direction of movement (typically 0 degrees for vertical lifting).