The Simple **Pendulum** . A simple **pendulum** consists of a **mass m** hanging from a **string** of **length L** and fixed at a pivot point P. When displaced to an initial angle and released, the **pendulum** will swing back and forth with periodic motion. By applying Newton's secont law for rotational systems, the equation of motion for the <b>**pendulum**</b> may be obtained.

# A conical pendulum of string length l and bob of mass m

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For small oscillations the period of a simple **pendulum** therefore is given by T = 2π/ω = 2π√(L/g). It is independent of the **mass** **m** **of** the **bob**. It depends only on the strength of the gravitational acceleration g and the **length** **of** the **string** **L**. By measuring the **length** **and** the period of a simple **pendulum** we can determine g. A simple **pendulum** with **length l and bob** of **mass m** is executing S.H.**M** of small amplitude a. The expression for maximum tension in the **string** will be. ... [1+ (a 2 /**l** 2)] The tension in the **string** would be maximum when **bob** will be passing mean position. Physics. Suggest Corrections. 1. Similar questions. View More. **A** **pendulum** consists of a **string** **of** **length** **L** **and** **a** **bob** **of** **mass** 1 answer below » A **pendulum** consists of a **string** **of** **length** **L** **and** **a** **bob** **of** **mass** **m**. The **string** is brought to a horizontal position and the **bob** is given the minimum initial speed enabling the **pendulum** to make a full turn in the vertical plane.

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Okay, so we're going to be looking at a **conical** **pendulum**. **And** **a** critical **pendulum** is one that swings around some center coal. So in some **mass** attached to a stream, swinging around some pool and it makes the **string** makes an angle phi with that whole the **strings** **of** **length** **L** **and** the **mass** on the end, um, we'll call him.

Example 6.1 The **Conical** **Pendulum** **A** small ball of **mass** **m** is suspended from a **string** **of** **length** **L**. The ball revolves with constant speed v in a horizontal circle of radius r as shown in the figure. (Because the **string** sweeps out the surface of a cone, the system is known as a **conical** **pendulum**.) Find an expression for v. **A** simple **pendulum** consists of a **bob** **of** **mass** **m** suspended from a friction-less and fixed pivot with the help of a **mass**-less, rigid, inextensible rod of **length** **L**. Its position with respect to time t can be described by the angle theta (measured against a reference line, usually vertical line). As shown in the figure above the driving force is F=-mgsintheta where the -ve sign implies that the.

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**m** **l** θ Here is the differential equation for the motion of an ideal **pen-dulum** (one with no friction, a massless **string**, **and** **a** miniscule **bob**): d2θ dt2 + g **l** sinθ= 0, where θis the angle with respect to the vertical, gis the gravita-tional acceleration, and lis the **mass** **of** the **bob**. Instead of deriving this equation from physical principles. Expression for Tension in the **String** of **Conical Pendulum** : Let us consider **a conical pendulum** consists of a **bob of mass** ‘ **m** ’ revolving in a horizontal circle with constant speed ‘v’ at the end of a **string** of **length** ‘ **l** ’. Let the **string** makes a constant angle ‘θ’ with the vertical. let ‘h’ be the depth of the **bob** below the. Consider a **conical** **pendulum** with **a** **bob** **of** **mass** **m** = 80kg on a **string** **of** **length** **L** = 10m that makes an angle of 0 = 50 with the vertical. Determine (**a**) the horizontal and vertical components of the force exerted by the **string** on the **pendulum** **and** (b) the radial acceleration of the **bob**.

**A** **conical** **pendulum** consists of a **bob** **of** **mass** `**m**` in motion in a circular path in a horizontal plane as shown in figure. During the motion, the supporting wire of **length** `**l**`. Maintains a constant angle `theta` with the vertical. The magnitude of the angular momentum of the **bob** about the vertical dashed line is..

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